Use the graph to write an equation of the line. y= Question 2 Interpret the slope. The cost of the meal increases $0.20 for each dollar spent on the tip. The tip increases $0.20 for each dollar spent on the meal. The cost of the meal increases $0.50 for each dollar spent on the tip. The tip increases $0.50 for each dollar spent on the meal.

Use The Graph To Write An Equation Of The Line. Y= Question 2 Interpret The Slope. The Cost Of The Meal

Answers

Answer 1

Answer:

$0.20

Step-by-step explanation:

Note that the graph does not have a vertical intercept other than (0, $0); it shows a proportional relationship.  For each $1 increase in the cost of the meal, the tip increases by $0.20.

Answer 2

The equation of the line is:

[tex]y = 0.2x[/tex]

The slope is of $0.2, which means that the tip increases $0.20 for each dollar spent on the meal.

The equation of a line, in slope-intercept form, is:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

When x = 0, y = 0, thus the y-intercept is [tex]b = 0[/tex].When x = 10, y = 2, thus, considering that the slope is given by change in y divided by change in x:

[tex]m = \frac{2 - 0}{10 - 0} = 0.2[/tex]

The equation of the line is:

[tex]y = 0.2x[/tex]

x is the cost of the meal, y is the tip, thus, the slope is of $0.2 means that the tip increases $0.20 for each dollar spent on the meal.

A similar problem is given at https://brainly.com/question/22566209


Related Questions

A = (b1 + b2)h
Solve for b1

Answers

Answer:

b1 = A/h - b2

Step-by-step explanation:

Given equation:

A = (b1 + b2)h

Solving for b1:

A = (b1 + b2)h          ⇒ divide both sides by hA/h = b1 + b2           ⇒ subtract b2 from both sidesb1 = A/h - b2            ⇒ answer

The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4
of the way from A to B?

Answers

Answer:

[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Step-by-step explanation:

Given

A = (4,-2)

B = (12,-10)

Ration = 1/4

Required

Determine the coordinate of point at 1 million buys

The formula to use is as follows:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where m and n are the ratios

i.e.

[tex]\frac{m}{n} = \frac{1}{4}[/tex]

Convert to ratios

[tex]m:n = 1:4[/tex]

Considering A(4,-2) and B(12,10); we have

[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex](x,y) = (\frac{1 * 12 + 4 * 4}{4+1},\frac{1*10 + 4*-2}{4+1})[/tex]

[tex](x,y) = (\frac{12 + 16}{5},\frac{10 -8}{5})[/tex]

[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Hence, the coordinate of the point is [tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]

Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be written using function notation? f(y)=1/3v+4/3 f(x)=-3x+4 f(x)-1/3x+4/3 f(y)=-3y+4​

Answers

Answer:

f(x)=-3x+4

Step-by-step explanation:

just took the test

PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!!


Choose one value that is in the domain of both ( ) = 2and 2 = and that is greater than 0. Substitute that value into ( ) = 2and 2 = and then simplify. Explain how your answers help to show that the graph on the left represents a function while the graph on the right represents a relation. Show your work and use function notation where possible


(ignore the little checks on the graph lol)

Answers

Heres a Simple Answer:

1. The one on the left follows the Vertical Line test, while the one on the right doesn't

2. A function is either y = mx+b, or a Nonlinear function. The one on the right is a Parabolic Function becuase it has the x^2 on it. The right one is y^2, which is not a function.

(Not very good, but I gtg so I rushed.)

All questionshzbzbzbz

Answers

2. 1/5
3. 2
4 they are both equal to 1/3
5. 6/12
6. 5/8

Hurry maximum points!!

Answers

Answer:

Three collinear points

Step-by-step explanation:

AC's length has been given to us as 15 units and AB is 10 units so to find BC you will need to subtract AC from AB

so let's subtract

15-10

= 5 units

So , BC is 5 units !

option C!!!

Answer:

C. 5 UNITS

Step-by-step explanation:

      10            BC

A-----------B--------------C

|<-----------15------------>|

10 + BC = 15

BC = 15 - 10

BC = 5 UNITS

Solve for . 5w-26=-4(w-7) Simplify your answer as much as possible. PLZ HELP

Answers

Answer:

w = 6

Step-by-step explanation:

5w-26 = - 4 (w - 7)   multiply -4 through

5w - 26 = - 4w + 28  add 4w to each side to cancel it out on the right

5w + 4w - 26 = 28  

9w - 26 = 28  Now add 26 to each side

9w - 26 + 26 = 28 + 26

9w = 54   Now divide each side by 9

(9w)/9 = 54/9

w = 6

Suppose that PR=47. Solve for x and find the lengths of PQ, and QR.

Please show all work and not just the answers.

Answers

Answer:

×=7, pq=27, qr=20.

Step-by-step explanation:

(4x-1)+(3x-1)=47 therefore 7x-2=47 or 7x=49 and x=7, pq=4x-1=27, qr=3x-1=20.

cade ate 14 slices of pizza. He ate 4
more than Dre. How many slices of
pizza did Dre eat?

Answers

Answer:

Pretty sure it's 10

what is 65550 times 43343

Answers

2.84x10 to the 9 power

A cell phone plan costs $30 per
month for unlimited calling plus $0.15
per text message. If you send 200 text
messages, how much would you pay
according to this cell phone plan ( can someone show me how to solve this step by step ? )

Answers

Hi :)

If a cell phone plan costs 30 per month and charges 15 cent per text message and 200 text messages were sent,

The base charge is 30 dollars, multiply 0.15 by 200

30 + (0.15 * 200)

30 + (30)

For this month,

$60

Hope this helps,

Jeron

P.S (brainliest? only if you think i really helped you)

PLEASE HELP MEEEEE!!!

Answers

Answer:

y = 5 units

Step-by-step explanation:

It is given from the image that both the polygons are similar.

Corresponding sides of the similar polygons will be proportional.

By this property ratio of the sides of the given polygons will be,

[tex]\frac{4}{x}=\frac{z}{9}=\frac{2}{6}=\frac{3}{w}=\frac{y}{15}[/tex]

We have to find the value of y.

Therefore, we will take the ratio,

[tex]\frac{2}{6}=\frac{y}{15}[/tex]

y = [tex]\frac{2\times 15}{6}[/tex]

y = 5

Measure of side y = 5 units will be the answer.

Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales
for opening night totaled $2071.50. The equation 10.50 +3.750 = 2071.50,
where a is the number of adult tickets sold and b
is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students
attended, how may adult tickets were sold?
adult tickets
Hi

Answers

Answer:

b= 322.8

Step-by-step explanation:

10.50a + 3.75b = 2071.50

10.50 (82) + 3.75b = 2071.50

861 + 3.75b = 2071.50

-861                -861

3.75b = 1210.5

/3.75     /3.75

b = 322.8

Solve for x.

2 x - 6 / 4 = 10

x = [?]​

Answers

Answer:

x = 5.75

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

Derek is purchasing lunch meat for the class picnic. There are 300 people attending the picnic. Derek expects that for every 10 people 11 sandwiches will be eaten and that 20 pounds of meat will make 90 sandwiches. How much lunch meat should Derek buy? 73 1/3 pounds 330 sandwiches 67 2/3 pounds 110 pounds

Answers

Answer:

Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches

Step-by-step explanation:

People at the picnic = 300

For every 10 people 11 sandwiches will be eaten

Total sandwiches eaten by 300 people = 300/10 × 11

= 30*11

= 330 sandwiches

330 sandwiches will be eaten at the picnic

20 pounds of meat will make 90 sandwiches.

90/20 = 330/x

Cross product

90x = 330*20

90x = 6,600

Divide both sides by 90

x= 73 1/3

Derek will buy 73 1/3 pounds of lunch meat to make 330 sandwiches

73 1/3 pounds 330 sandwiches

Help...!!!!!!!!
Please...!!!!!!!!!
It’s for today...!!!!!

Answers

2c - 49 -200 for problem a

c + 64c -200 is problem b

What is the value of x in the equation 1/2x - 2/3y=30 when y =15

Answers

Answer:

x=20

Step-by-step explanation:

Substitute 15 for y

it will be 2/3 multiplied by 15 then you get 10

you add 10 to 30 getting 40

then you divide 40 by 1/2 getting 20

:)))

Answer:

x = 80

Step-by-step explanation:

First, plug the 15 into the y.

[tex]1/2x - 2/3(15) = 30[/tex]

Use PEMDAS to solve the parentheses, 2/3 of 15 is 10.

[tex]1/2x - 10 = 30[/tex]

Add 10 to both sides of the equation.

[tex]1/2x = 40[/tex]

Divide each side by 1/2 (or multiply by it's reciprocal, which is 2)

That will get you your answer of x = 80

Suppose you want to throw a party. you have $214 to spend. so far you have purchased 5 decorations that each cost d dollars. which expression represents the amount of money that you have left to spend?

Answer: 214 - 5d

Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.

Answers:
1) You buy 2 equally priced party favors, spending from your $7.65 gift card.
4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.

You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?

Answer: 12/g

(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020

4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.

5th: m + 2m - s

6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.

7th: n - (1/4)n - 15

8th: 12n/r

9th: (x+3)/5

10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs. ​

Answers

Answer: 214 - 5d

Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.

Answers:

1) You buy 2 equally priced party favors, spending from your $7.65 gift card.

4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.

You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?

Answer: 12/g

(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020

4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.

5th: m + 2m - s

6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.

7th: n - (1/4)n - 15

8th: 12n/r

9th: (x+3)/5

10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.

Step-by-step explanation:

Answer:

214-5d

Step-by-step explanation:

-3x + 5 = 2x + 10 what is the answer ​

Answers

Answer:

x = -1

Step-by-step explanation:

Step 1: Write out equation

-3x + 5 = 2x + 10

Step 2: Add 3x on both sides

5 = 5x + 10

Step 3: Subtract 10 on both sides

-5 = 5x

Step 4: Divide both sides by 5

-1 = x

Step 6: Rewrite

x = -1

Answer:

x = -1

Step-by-step explanation:

you want to move all the numbers with an x to one side and the ones without to the other so you get.

-5x=5

then you divide by 5 on both sides and get x = -1

Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x - 3

Answers

Answer:

x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{x-4}{2x-3}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Thus x = [tex]\frac{3}{2}[/tex] is the vertical asymptote

Solve using the quadratic formula. Write answers as an exact value and as a decimal rounded to the nearest hundredth.
4r2 + 8r + 1 = 0 ​

Answers

Answer:

[tex]\frac{-2±\sqrt{3} }{2}[/tex]

dec form: -0.13

Step-by-step explanation:

I need help finishing a question. I used the explanation function on the program, but it didn't specify what to do to get the final answer. I have attached a picture.

"Find the real solutions. Use the quadratic formula and a calculator."

At the last step, it said to use a calculator to see if the solutions satisfy the equation, but does that mean I need to plug in the whole thing for each x in the original equation? That would take a long time. I tried punching the "(1 plus or minus sqrt (1 + 160pi^2)) / 2" into my calculator, but the answers I got were wrong.​

Answers

I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

So x = 6.48571248 is one approximate solution

In short, I computed [tex]\frac{1+\sqrt{1+160\pi^2}}{2\pi}[/tex] only focusing on the plus for now.

----------------------

If you were to compute [tex]\frac{1-\sqrt{1+160\pi^2}}{2\pi}[/tex] you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

Answer:

x = 6.49

Step-by-step explanation:

1st is to calculate [tex]\sqrt{1 + 160 pi^2}[/tex] = 39.75 then add 1 = 40.75

2nd divide it by 2pi = 40.75/(2pi) = 6.49

therefore your x = 6.49

the equation would look like

   1 ± [tex]\sqrt{1 + 160 pi^2}[/tex]            1  ±  39.75

= --------------------------  =  ---------------- = 6.49

           2*pi                        6.28

What is 18 3/8 as a decimal I really need help

Answers

18 3/8 as a decimal = 18.375

Some fireworks are fired vertically into the air from the ground at an initial velocity of 24.5 meters per second. Find the highest point reached by the firework – just as it explodes. Include your equation in your response. Don't forget to include units!

Answers

Answer:

The highest point reached by the firework is approximately 30.6 meters

Step-by-step explanation:

The upward velocity of the fireworks is given as 24.5 m/s

The equation of projectile motion for an object fired vertically upwards can be written as follows;

v² = u² - 2·g·s

Where;

v = The final velocity of the motion = 0 m/s at maximum height

u = The final velocity of the motion =  24.5 m/s

g = Acceleration due to gravity = 9.81 m/s²

s = The height reached = (The highest point reached by the firework)

By substituting the values, we have;

(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s

Which gives;

2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²

19.62 m/s² × s = 600.25 m²/s²

s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters

The highest point reached by the firework is approximately 30.6 meters

What is 4.5(5.6*2)+1.2?

Answers

Hi there! Hopefully this helps!

---------------------------------------------------------------------------

Answer: [tex]\boxed{51.6}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]4.5(5.6 \times 2) + 1.2[/tex]

Multiply 4.5 and 5.6 to get 25.2.

[tex]25.2 \times 2 + 1.2 = 51.6[/tex]

Multiply 25.2 and 2 to get 50.4

[tex]50.4 + 1.2 = 51.6[/tex]

Add 50.4 and 1.2 to get, you guessed it, 51.6!

[tex]\boxed{51.6}[/tex]

To solve this, we will first use order of operations to multiply the terms inside the parentheses, multiply the product by the term outside of the parentheses, and then add from left to right.

5.6 * 2 = 11.2

11.2 * 4.5 = 50.4

50.4 + 1.2 = 51.6

Therefore, 51.6 is the solution.

Please, someone help!

The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about ______ times that of the Sun-Earth system.

References:

The distance to size ratio of the Sun- Nearest Star system is 100,000,000
The distance to size ratio of the Sun-Earth system is 10,000
Hint you have to divide them, however, the answer is not 10,000

Please help! I will mark the brainliest!

Answers

Answer: 1:10,000

Step-by-step explanation:

given data:

distance of the nearest star system = 100,000,000

distance to size ration of the sun earth system = 10,000

therefore;

100,000,000 / 10,000

= 10,000

The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.

Hello please help, thank you!!

Answers

Step-by-step explanation:

3x+5>-10

3x-5+5>-10-5

3x>-15

x>-15/3

x>-5

What are the two square roots of 1/16?

Answers

Answer:

1/4 is the answer ........

1\16 =(0.0625)

0.0625 as a percentage is 6.25%

the fraction 625/1000 to represent everything to the right of the decimal point.

So your answer would be (3) 625/1000.

Glenn bought 3 pounds of tomatoes. He used bles of them to make sauce. Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce. Move numbers and symbols to the blanks to complete the equation. If there is no whole number in the answer, put a 0 in the first box after the equals sign.​

Answers

Answer:

He used [tex]1\frac{7}{8}\ lb[/tex]

Step-by-step explanation:

Given

[tex]Total = 3\ lb[/tex]

[tex]Fraction = \frac{5}{8}[/tex] to make sauce

Required

Determine the number of pounds used

To solve this, we simply multiply the fraction of tomato used by the total;

[tex]Used = Fraction * Total[/tex]

[tex]Used = \frac{5}{8} * 3\ lb[/tex]

[tex]Used = \frac{5 * 3}{8}\ lb[/tex]

[tex]Used = \frac{15}{8}\ lb[/tex]

Convert to mixed number

[tex]Used = 1\frac{7}{8}\ lb[/tex]

Hence,

He used [tex]1\frac{7}{8}\ lb[/tex] out of the 3lb he bought

Look at the screenshot below and please try to answer!!

Answers

Answer:

4th and 5th figures are attached below. There would be about 400 dots in the 100th figure.

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