Calvin is adding water to his swimming pool. The graph shows the amount of water in the pool as more water is added. What does the y-intercept represent?

The amount of water in the pool before more water was added.

The additional gallons of water added per minute

The total time needed to fill the pool

The total amount of water needed to fill the pool

The charges on a monthly water bill are 0.86 per m 3 of water used plus a service charge of $4.49. Let C = total charge in dollars and w = total amount of water used, in m 3 .

C = 4.49 + . 86 w C\ =\ 4.49\ +.86w C = 4 . 4 9 + . 8 6 w

C = 4.49 × 0.86 w C\ =\ 4.49\ \times0.86w C = 4 . 4 9 × 0 . 8 6 w

C = 4.49 w + 0.86 C\ =\ 4.49w\ +0.86 C = 4 . 4 9 w + 0 . 8 6

C = ( 4.49 + 0.86 ) w C\ =\ \left(4.49\ +\ 0.86\right)w C = ( 4 . 4 9 + 0 . 8 6 ) w

Consider the following graph. Which statement is false?

The y -intercept of the line through AB is -1

The y -intercept of the line through CD is -4

The following shows values for a linear relation. Which of the equations represents the relationship shown in the table of values?

y = 4 3 x − 13 y=\frac{4}{3}x-13 y = 3 4 x − 1 3

y = 4 3 x − 16 y=\frac{4}{3}x-16 y = 3 4 x − 1 6

y = 3 4 x − 9 y=\frac{3}{4}x-9 y = 4 3 x − 9

y = 3 4 x − 6 y=\frac{3}{4}x-6 y = 4 3 x − 6

The total cost of hiring of Beth's Plumbing Services is represented by the equation C = 50 t + 70 C\ =\ 50t\ +\ 70 C = 5 0 t + 7 0 , where C is the total cost in dollars and t is time in hours. Next month, the rate will change to $60 per hour but the initial charge will stay the same. Which of the following describes how the graph of the relations will change?

The steepness of the line will increase

The steepness of the line will decrease

The vertical intercept will increase by 10 units

The vertical intercept will decrease by 10 units

What is the meaning of the slope?

You will receive $0.25 per paper delivered

You will receive $4 per paper delivered.

You will receive $5 per paper delivered

You will receive $20 per paper delivered

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes. What is the meaning of the slope of the equation?

It costs $0.20 per minute to rent the kayak.

For $1.00, you can rent a kayak for 20 minutes.

You have to pay $0.20 up front before using the kayak at all.

Every .2 minutes, you have to pay $1.00.

Which statement matches the graph?

Taylor can write 25 words per minute

Taylor can write 6 words per minute

Taylor can write 50 words per minute

Taylor can write 150 words per minute

James has to sell restaurant discount cards as part of a fund raiser for soccer. The equation y = -10x + 500 models his selling where y is the total number of cards and x is the number of days. Interpret the slope.

James is selling 10 cards each day

James is selling 500 cards over 10 days

James earns $500 for every 10 cards he sells

James starts with 500 cards to sell.

MPM1D - Unit 4 Assignment

Authored by Sheryl Stonehouse

Mathematics

10th Grade

CCSS covered

Used 19+ times

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50 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Lisa wants to hire a party planner to plan and host her birthday party. Party Planet charges $200 for materials plus $20 per hour, and Best Party Ever charges $120 for materials plus $40 per hour. If Lisa wants to have her party last for 3 hours, which company would give the lowest cost?

Party Planet

Best Party Ever

Both companies would charge the same

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the slope?

-1/3

-3

-4

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the slope?

1/5

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the y-intercept?

-21

-17

1/4

Tags

CCSS.HSF-LE.A.1B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the y-intercept?

-34

-24

-3

Tags

CCSS.8.F.B.4

CCSS.8.EE.B.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the equation for the table?

y =1/4x -3

y =4x - 3

y = -3x -3

y =-2x -3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the equation of the linear function?

y = -3x + 10

y = -3x + 16

y = 3x + 10

y = 3x + 16

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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MPM1D - Unit 4 Assignment

Lisa wants to hire a party planner to plan and host her birthday party. Party Planet charges $200 for materials plus $20 per hour, and Best Party Ever charges $120 for materials plus $40 per hour. If Lisa wants to have her party last for 3 hours, which company would give the lowest cost?

What is the slope?

What is the slope?

What is the y-intercept?

What is the y-intercept?

What is the equation for the table?

What is the equation of the linear function?

A holiday meal costs $12.50 a person plus a delivery fee of $30. If C represents cost and x represents the number of people, which of the following equations best represents this situation?

If a line passes through (0,-5) and has a slope of -8, what is the equation for the line?

What is the equation of the line for this graph?

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