The graph represents the amount of money Sal earns for babysitting.

Graph where the x- axis gives time in hours and runs from zero to three and beyond. The y- axis gives earnings in dollars and runs from zero to twenty four and beyond. A straight line intersects the axes at (0, 0). Its coordinates are (5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20)

Part A
What does the ordered pair (2.5, 20) represent in the situation?
A. $2.50 for 20 hours
B. $1 for 0.125 hours
C. $0.125 for 1 hour
D. $20 for 2.5 hours
Part B
Does the graph represent a proportional relationship? Explain.
A.
Yes. The line passes through the origin.
B.
Yes. The line has a variable rate of change.
C.
No. The slope is not constant.
D.
No. The line has a y-intercept greater than 0.
Part C
What is the linear equation represented by the graph?
A. y = 20x + 2.5
B. y = 2.5x + 20
C. y = 8x
D. y = 0.125x

Answers

Answer 1

Answer: d, a, and c

Step-by-step explanation:

Answer 2

Part(A)

The ordered pair (2.5, 20) represents $2.50 for 20 hours. the correct option is A.

Part(B),

Yes. the line passes through the origin. The correct option is A.

Part(C),

The linear equation represented by the graph is y = 8x. The correct option is C.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that coordinates are (0.5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20).

Part(A),

The ordered pair (2.5,20) represents that the earning is $20 for the work of 2.5 hours.

Part(B),

The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 8 - 4 ) / ( 1 - 0.5 )

Slope = 4 / 0.5

Slope = 40 / 5

Slope = 8 hours

The y-intercept is calculated as,

y = mx + c

16 = ( 2 x 8 ) + c

c = 16 - 16

c = 0

Hence, the line passes through the origin.

Part(C),

The equation of the line will be written as,

y = mx + c

y = 8x + 0
y = 8x

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2


Related Questions

Can someone could explain the part of simplifying rational expressions where it is x is not equal to a number. I've had a hard time understanding how to get that answer. The picture is an example in my notes.

Answers

Answer:

yeah it is bcoz if x is -1 then x+1 will be

-1+1 which is 0 and ur whole equation will say

now thats a lot of damage

A box of a dozen fruit tarts costs $15. How much money does 1 fruit tart cost?

Answers

1.25

dozen = 12

15/12 = 1.25

1 dozen = 12 so 15/12 is 1.25

which means 1 fruit tart is $1.25

Which value of y makes the inequality 3y^2+2(y-5)>8 true


A y=0
B y= -1
C y= -2
D y= -3

Answers

Answer:

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Step-by-step explanation:

Given the inequality

3y² + 2(y - 5) > 8

For y = 0

substitute y = 0 in the inequality

3y² + 2(y - 5) > 8

3(0)² + 2(0 - 5) > 8

3(0) + 2(-5) > 8

0 - 10 > 8

-10 > 8

FALSE!

-10 can not be greater than 8.

Hence, y = 0 does not make the inequality true.

For y = -1

substitute y = -1 in the inequality

3y² + 2(y - 5) > 8

3(-1)² + 2(-1 - 5) > 8

3(1) + 2(-6) > 8

3 - 12 > 8

-9 > 8

FALSE!

-9 can not be greater than 8.

Hence, y = 1 does not make the inequality true.

For y = -2

substitute y = -2 in the inequality

3y² + 2(y - 5) > 8

3(-2)² + 2(-2 - 5) > 8

3(4) + 2(-7) > 8

12 - 14 > 8

-2 > 8

FALSE!

-2 can not be greater than 8.

Hence, y = -2 does not make the inequality true.

For y = -3

substitute y = -3 in the inequality

3y² + 2(y - 5) > 8

3(-3)² + 2(-3 - 5) > 8

3(9) + 2(-8) > 8

27 - 16 > 8

11 > 8

TRUE!

11 is indeed greater than 8.

Hence, y = -3 MAKES the inequality TRUE.

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Answer:

D

Step-by-step explanation:

Helpppppppppp plzzzzz

Answers

so do all the question like this types

thankyou for your question

What is x?
4x(2x+6)=8x²(23-5)

pls, help for the first person to answer I will give them a brainlist.

Answers

Answer:

x= 3/17

Step-by-step explanation:

4x(2x+6) =8x^2(23-5)

8x^2 +24x = 144 x^2

24x = 136 x^2

24= 136 x

x=24/136

x=3/17

Find the measure of each interior angle.

Answers

Answer:

d) m<J = 115, m<K = 130, m<M = 50, m<N = 65

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360

if we add all the given angles 7x + 10 = 360 subtract 10 from both sides

7x = 350 divide both sides by 7

x = 50 to find the measure of each angle replace x with 50

34=16+x helpppppp please due in 30 minutes

Answers

Answer:

34-16=18

so x = 18

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x

WHO's BIRTHDAY was on 24 January?
my bday was yesterday
mentors can u please not remove this because i want this to be here and I WILL be VERy HApy

Answers

happy belated birthday!

Good night everyone
Also
should I
A. Go to bed
B. clean my room
C. Cry



c. is looking like the best option right now

Answers

Answer:

A

Step-by-step explanation:

8 hours of sleep is healthy

Answer:

clean your room then go to bed. you will feel proud of yourself after you do

DOES ANYONE KNOW WHAT THE CORRDINTS ARE??!!

Answers

Answer:

-7 and -5

Step-by-step explanation:

It is where the parabola intercepts the x axis which is -7 and -5

Answer:
(-7,-5)
Yeah that’s what I think


[tex]5x {}^{2} + 2x - 3 - px - p[/tex]

Answers

Answer:

5x² + 2x - 3 - px - p

= 5x² + 5x - 3x - 3 - p(x + 1)

= 5x(x + 1) - 3(x + 1) - p(x + 1)

= (x + 1)(5x - 3 - p)

Round the fraction to the nearest whole number. 3 1/2

Answers

Answer:

4

Step-by-step explanation:

3 1/2= 3.5

5 rounds up, so it'll be 4

Answer:

4 hope this helps

A boarding school distributes 5% of its actual profit Rs.97440 among 20 teachers as a bonus. Find the bonus amount that the each teacher get.​

Answers

If 97440 is the amount of profit then you simply do 97440x0.05 to get 5 percent of the profit then divide it out to 20 people.

FINAL ANSWER
243.6

Increase 386.3 by 4%

Answers

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Find Cos b in the triangle

Answers

Answer:

3/5

Step-by-step explanation:

SOHCAHTOA

Cos- adjacent/hypotenuse

adjacent side: 3

hypotenuse: 5

adj/hyp: 3/5

Helena wants to find the perimeter of the graphed quadrilateral ABCD.
Which side will require the use of the distance formula to find the length?
side AB
side BC
side CD
side DA

Answers

The correct answer is CD. I am 100% correct. I have done this problem before.

An ice cream shop is choosing a milk delivery service. The Spotted Cow charges $2.80 per gallon, plus a $2 delivery fee. Dairy Farms charges $2.10 per gallon, plus a $10 delivery fee. If the ice cream shop uses 20 gallons a milk per week, which service is a better deal? Group of answer choices

Answers

Answer:

The Dairy Farm is better deal.

Step-by-step explanation:

Given that:

Per gallon charges of the Spotted Cow = $2.80

Delivery fee = $2

Let,

x be the gallons of milk.

S(x) = 2.80x + 2

Putting x = 20

S(20) = 2.80(20) + 2 = 56 + 2

S(20) = $58

Per gallon charges of the Dairy Farms = $2.10

Delivery fee = $10

D(x) = 2.10x + 10

Putting x = 20

D(20) = 2.10(20) + 10 = 42 + 10

D(20) = $52

Hence,

The Dairy Farm is better deal.

Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
A
1 out of 3
B
1 out of 6
с
3 out of 6
D
5 out of 6

Answers

Answer:

C) [tex]P(E) = \frac{3}{6}[/tex]

The probability that Mae will roll an odd number

[tex]P(E) = \frac{3}{6}[/tex]

Step-by-step explanation:

Step(i):-

Given that Mae has a number cube with 6 sides that are numbered 1 through 6.

n(S) = { 1,2,3,4,5,6,} = 6

Let 'E ' be the event of odd numbers

Mae will roll an odd number

n(E) = {1, 3, 5} = 3

Step(ii):-

The probability that Mae will roll an odd number

[tex]P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}[/tex]

[tex]P(E) = \frac{3}{6}[/tex]

A movie theater sold 64 Hckets. of the tickets sold were adult tickets. How many adult tickets were sold?​

Answers

Answer:

Adult tickets are $24 each and children tickets are $13 each.

Step-by-step explanation:

I know

Whats 1 + 1 I need your help please.

Answers

Answer:

2

Step-by-step explanation:

when you add 1 to 1 you get 2 lol have a nice day

OMG i need lots of help with my math plz help

Answers

Answer:

it should be C. i hope this helps

If in one batch of cookies, you used 6 cups of dough and 2 cups of chocolate chips. How many cups of chocolate chips will you need to make 3 batches of cookies?​

Answers

1 batch = 2 cups
3 batches = 2 x 3 = 6 cups

What is the value of (x)?​

Answers

Answer:

1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

I don’t get it please can I have help :)

Answers

7^2 x cube root 7
= 7^2 x 7^1/3
= 7^2+1/3
= 7^7/3

Answer:

[tex] {7}^{2} \times \sqrt[3]{7}\\ = {7}^{2} \times {7}^{ \frac{1}{3} } \\ = {7}^{(2 + \frac{1}{3}) } \\ = {7}^{ \frac{(6 + 1)}{3}} \\ = \boxed{{7}^{ \frac{7}{3}}}✓[/tex]

7⁷/³ is the right answer.

3x - 8 = 4(x+5) plz plz plz solve it

Answers

Answer:

=−28

Step-by-step explanation:

Find the length of the hypotenuse, c in this triangle

Answers

C=5

4^2+3^2=C^2
16+9=C^2
25=C^2
Find the square root of 25 and C^2
5=C

Answer:

c = 5cm

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

do the square root of 25 and c to solve for c

the square root of c^2 is c

therefore, c= 5cm

how do you solve y=3-x
2x+y=6

Answers

Answer:

x=3 y=0

Step-by-step explanation:

This is called system of innequalities

we know y= 3-x and we substitute that into 2x+y=6 and we get

2x+3-x=6 we solve and get x=3

then we substitute x into the first equation and we get y=3-3 and get 0

x=3 y=0

3x + 16 = 136

(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)

Subtract 16 from each side. Then divide both sides by 3.

Answers

Answer:

x = 40

Step-by-step explanation:

If 20 is 40% of a value,what is that value

Answers

Answer:

50, 20 is 40 %

to get from 40 % to 100% you multiply by 2.5

20 times 2.5 is 50

50 is 100%

Step-by-step explanation:

hope this helps have a good day :) ❤

1/2y=25
Help please

Answers

Answer:

=> 25 x 2 = 50

Step-by-step explanation:

Other Questions
At one store, Alex saved $10 with a coupon for 50% off her total purchase. At another store, the $28 she spent on books is 56% of her total bill. How much did Alex spend in all at the two stores? PLZ ANSWER ASAP WILL GIVE BRAINLIEST 36 pointsBased on sources 5-8 and your knowledge of social studies, explain how the Europeans practiced both conflict and cooperation while settling Louisiana. Which of the following is NOT a step used to perform a scientific inquiry 1. Compare each pair of integers using the symbols >, < or =a. -2,[ ]-2b. 17 [ ] 11c. -3 [ ]7d. -16[ ] 132. Order each set of integers from least to greatesta. 98,5,46, 77, 24, 19b. 58,46, 62, 79, 21, 6c. 86, 65, 55, 30, 11, 41d. 69, 65, 52, 48, 25,8 Is this right? Please help me A ball having mass 2 kg is connected by a string of length 2 m to a pivot point and held in place in a vertical position. A constant wind force of magnitude 13.2 N blows from left to right. Pivot Pivot F F (a) (b) H m m L L If the mass is released from the vertical position, what maximum height above its initial position will it attain? Assume that the string does not break in the process. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m Carefully study the graph provided, and then answer the questions.In 1931 the GDP per capita was about (blank).The GDP reached its lowest point in (blank).The GDP peaked in .(blank) True or false: Social justice has been the main driver associated with cultural beliefs and values in the U.S. how do you say today i will be talking about my ideal classroom in spanish OUProve algebraically that 0.5 =Write your proof in the box, below, and use x in the working.The concluding line has been written for you.Therefore x =olu 5Why is the speaker visiting their grandmother?to discuss their mother's graduationBto remind their grandmother who they areto show her that they graduatedto make sure their grandmother is well Describe one family member of yours. Dicuss as many detail as possible about this person and what make them unique 5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..a) First the sum of first 30 terms of the sequence. Iuhi(in 6uguyguygugjhguygiygi6ihb 64 people ordered a veggie burger at a local hamburger stand out of 160 people in an hour. What percentage of the customers ordered a veggie burger ? A 40% B 60% C 64% Linda had 25 ounces of water in her water bottle.After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation. * List and describe all five types of chemical reactions. thx. Five less than three times the length L. Classify the following as either sexual or asexual reproduction. And give the specific type if asexual. A flatworm is cut in half and grows into two flatworms. +282Least multiple that is the samAdd using renamed fractions