Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is proportional or non-proportional. Explain.

Answers

Answer 1

Answer:

The function is non-proportional.

Step-by-step explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

[tex]y=15x+10[/tex]

Plug 0 into the equation as x

[tex]y=15(0)+10\\y=10[/tex]

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!


Related Questions

A tennis pro has 12 can of tennis balls. There are 3 balls in each can. He gives an equal number of balls to each of the 4 players. After the lesson, he realizes that each player lost 3 balls. How many tennis balls are left? Show your work and explain (in complete sentences) how you found your answer.

Answers

Answer:

24 Tennis balls

Step-by-step explanation:

Calculation for How many tennis balls are left

First step

Since we have 12 can with 3 balls each Let the number of balls that the tennis pro has at the beginning be x

x=(12 can ×3 balls each)

x=36

Second step

Since we have 4 players who lost 3 ball each Let the total number of balls that was lost be y

y=(4 players×3 balls each)

y=12

Third step is to calculate How many tennis balls are left

Since x represent the number of balls at the beginning and y represent the number of balls that was lost , then let the number of tennis balls that was left after the session represent z

z=36−12

z=24 Tennis balls

Therefore the numbers of tennis balls that are left will be 24 Tennis balls

Can someone please help I don’t understand

Answers

Answer:201,06

Step-by-step explanation: the formula for the A in the circle is A= r*r*pi

r=8

pi=3,14

A=8*8*3,14=201,06

PLEASE HELP ME!!!!!!
What power did the national government NOT have under the Articles of Confederation?

Answers

Answer:

The Articles of Confederation created a national government composed of a Congress, which had the power to ... Under the Articles, the states, not Congress, had the power to tax. ... The Articles of Confederation did not include a president.

Step-by-step explanation:

Hope this helps;)

A line passes through the point 2,1 and has a slope of -3/5. Write an equation for this line

Answers

Answer:

y = -3/5x + 1.3

Step-by-step explanation:

y = mx + b

m: slope

b: y-intercept

First, let's substitute in the values.

Point: (2, 1)

Slope: -3/5

y = mx + b

(1) = (-3/5)(2) + b

1 = -0.3 + b

1 + 0.3 = -0.3 + b + 0.3

b = 1.3

Now, let's add the slope and y-intercept to the equation.

y = mx + b

m = -3/5

b = 1.3

y = -3/5x + 1.3

Hope this helped! <3

What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38​

Answers

Answer:

[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]

The lowest temperature on Mars can reach - 140 degrees Celsius while the highest temperature can be 20 degrees Celsius. and use it to calculate the difference between the highest and the lowest temperature on Mars​

Answers

Answer:

120

Step-by-step explanation:

-140 + 20 = 120

4x and 4y are like terms.
O A. True
O B. False

Answers

false

because they have different variables, they are different terms. if they were both 4y and 4y or 4x and 4x then they would be like terms. but here, they are not.

i hope this helps!

Answer: B.False

Step-by-step explanation:This is because 4 x and 4 y have different terms.4 x has the term x while 4y has the term y.

Hope it helps . :)

Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?

Answers

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?

Answers

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

[tex]H=-4.9t^2+5t+2[/tex]

The ball will hit the ground when h=0

[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]

A. Headphone World
B. Best Buy
C. Target
D. Not enough information to tell

Answers

Answer:

??? dont under stand

Step-by-step explanation:

Answer:

The correct answer is Target!

Step-by-step explanation:

12% off of $225 is $198

50% off of $250 is $125

25% off of $265 is $198.75

Can the triangles be proven similar and how

Answers

Answer:

yes

Step-by-step explanation:

Decrease £14132.77 by 4.5%
Give your answer rounded to 2 DP.

Answers

14132.77x0.955=£13496.80

write a real word problem that you could represent 3+ x =10

Answers

A real world problem that you could represent 3+x=10

i did it

now give brainliest

1. identify the coeffieceint: 6x + 19

Answers

If my writing is sloppy you can tell me to send it again, but hope this helps.

Answer:

The coefficient is 6 because it has a variable "x"

4u+3u+21=70 find the value of the variables

Answers

Answer:

u=7

Step-by-step explanation:

First, add 4u and 3u because they are like terms.

7u+21=70

Second, subtract 21 from both sides.  

7u=49

Finally, to isolate the variable divide 7 from both sides.

u=7

U=7



Hope this helps you

Which graph represents the proportional relationship given by the rule "y is 3 times the value of x"?

Please answer fast less than 5 min

Answers

Answer:

The fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Step-by-step explanation:

Given the rule

''y is 3 times the value of x".

It means

y = 3x

comparing with the slope-intercept form of the line equation

y = mx+b

where y is the slope and b is the intercept

so,

The slope of y = 3x will be: m = 3

The y-intercept of  y = 3x will be: b = 0

CHECKING THE 4TH GRAPH (THE RIGHT BOTTOM SIDE)

Taking two points

(0, 0)

(2, 6)

Finding the slope between (0, 0) and (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [6 - 0] / [2 - 0]

                = 6 / 2

               = 3

Thus, the slope of the line = m = 3

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 3 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = 3x+0

y = 3x

Therefore, the fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Answer:

It's the bottom right graph.

Step-by-step explanation:

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as Gabby. How many hours of television did they each watch over the weekend? Write and solve a system of equations by using the substitution method. Be sure to define your variables.

Answers

Answer:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14..... Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Edith leaves her home at 11:50 am.
She travels 75 miles at an average speed of 30 mph.
At what time does she finish the journey.

Answers

Answer:

2:30 minutes her journey finish.

distance / speed = time

75 / 30 = 2.5 hours :

it means  2:20 pm they finish her journey

Step-by-step explanation:

Brainliest?

Answer:

2:20 pm

Step-by-step explanation:

30 mph=1 mile every 2 minutes

75 miles x 2 =150 minutes or 2 hours and 30 minutes

11:50 am + 2 hours and 30 minutes = 2:20 pm

I need help solving the equal method

Answers

Answer:

(-2, -4)

Step-by-step explanation:

Since both equations are equal to y, you can set them equal to each other:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3[/tex]

Next, solve for x:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3\\x-1=-3\\x=-2[/tex]

Finally, substitute the solution for x in one of the equations (or both) to find y:

[tex]y=\frac{3}{2}(-2)-1\\y=-3-1\\y=-4[/tex]

[tex]y=\frac{1}{2}(-2)-3\\y=-1-3\\y=-4[/tex]

Therefore, the solution to the system of equations is (-2, -4).

What is/ are the constant(s) in this expression?

3a + 6y + 18ay + 9 - 10

3a and 6y

9 and -10

- 9 and 10

9 and 10

Answers

Answer:

9 and -10 are constant

Step-by-step explanation:

constant means it shouldnt have any variable attached to it

Answer:

3,6,18,9,10

Step-by-step explanation:

numbers

Find −64÷(−8) need help

Answers

The correct answer is 8.

Answer: The answer to -64 divided by 8 would be 8.

(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me

Answers

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

Answer:

0

Step-by-step explanation:

find the slope of the lines​

Answers

Answer:

m = 1

Step-by-step explanation:

We can use the x & y intercepts.

Rise = 2

Run = 2

m = Rise/Run = 2/2 = 1

Someone help please and thank you !! ASAP

Answers

Answer:

[tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3 ;

Step-by-step explanation:

f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)

g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)

( [tex]\frac{f}{g}[/tex] )(x) = [tex]\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}[/tex] = [tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Step-by-step explanation:

i suppose you are looking for the expanded and simplified form

We can use Pascal's triangle to perform this

According to Pascal's triangle,

1

1 1

1 2 1

So, 1•3x²+2•3x•1/x+1•1/x²

3x²+6x/x+1/x²

3x²+6+1/x²

Find the least common multiple (LCM) for the pair of numbers.
20, 3
Need answers like now

Answers

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

HELP HELP HELP POINTS GIVEN

Answers

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense

What is the image of A(1,-3)?

use the following transformations with each question:

Reflection across the x-axis
Reflection across the y-axis
Reflection across the y = x
Reflection across the y = -x

Answers

Step-by-step explanation:

Given A(1 , -3)

Reflection across the x -axis

= A'( 1 , 3)

Reflection across the y-axis

= A'( -1 , - 3)

Reflection across the y = x

= A' ( -3 , 1)

Reflection across the y = - x

=A'( 3 , - 1)

Hope it will help ☺

Roger is a great pitcher. He strikes out 1 out of every 3 batters he
faces. If he struck out 5 batters in 1 game, about how many batters
would he have faced?

Answers

He would have faced 15 batters because the ratio of strikes is 1 to 3 so you would put the 5 in the ones place and multiply it by the 3 which makes 15.

plz help I need help
help !!!!!!

Answers

Answer:

W=4

Step-by-step explanation:

When you plug 4 into w, it changes into 4/8 which simplifies to 1/2.

1/2 times 6 is 3.

11+3=14

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