Linear Relationships and Bivariate Data

Authored by Taylor Washington

Mathematics

8th Grade

CCSS covered

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12 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

A kayak rental service charges $5 for a life jacket and $7.50 per hour to rent a kayak. What is the correct equation that represents this situation?

y = 5x + 7.50

y = - 7.50x - 5

y = 7.50x + 5

x = 7.50y + 5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Franklin's faucet was leaking water, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was leaking. His data is shown in the table.
Find the equation Franklin can use for his leaky faucet.

y = 1.5x + 2

y = 2x + 1.5

y = 2x

y = 1.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph shows the value of a machine over a 10-year period. Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars, over this 10-year period?

y = - 0.002x + 2,500

y = - 500x + 8,000

y = 500x + 8,000

y = 0.002x + 2,500

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph shows the relationship between the number of hours a paddleboat is rented and the total cost of the rental. Write and equation for the relationship, then use the equation to predict how much it would cost to rent a paddleboat for 5.5 hours.

x = 20y + 30; $140

y = 30x + 20; $100

y = 20x -30; $150

y = 20x + 30; $140

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which statement compares the data shown on these two graphs?

Both graphs are linear

Neither graph is linear

Graph A is linear; Graph B is not linear

Graph B is linear; Graph B is not linear

Tags

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write an equation for the table above in slope-intercept form.

y = x² + 109

y = - 5/3x - 109

y = 3/5x + 109

y = - 3/5x + 109

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A dance studio offers dance lessons at a rate of $35 per x amount of lessons, plus a registration fee of $55 at sign up. Write an equation one can use to find the total cost, y, in dollars for x amount of lessons.

y = 35x + 55

x = 35y + 55

y = 55x + 35

y = -35x - 55

Tags

CCSS.6.EE.C.9

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Linear Relationships and Bivariate Data

A kayak rental service charges $5 for a life jacket and $7.50 per hour to rent a kayak. What is the correct equation that represents this situation?

Franklin's faucet was leaking water, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was leaking. His data is shown in the table.
Find the equation Franklin can use for his leaky faucet.

The graph shows the value of a machine over a 10-year period. Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars, over this 10-year period?

The graph shows the relationship between the number of hours a paddleboat is rented and the total cost of the rental. Write and equation for the relationship, then use the equation to predict how much it would cost to rent a paddleboat for 5.5 hours.

Which statement compares the data shown on these two graphs?

Write an equation for the table above in slope-intercept form.

A dance studio offers dance lessons at a rate of $35 per x amount of lessons, plus a registration fee of $55 at sign up. Write an equation one can use to find the total cost, y, in dollars for x amount of lessons.

What is the equation that best represents the graph above?

At what rate did the rain fall?

A dog walker earns $10 plus $3 per dog. What equation represents this model?

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Linear Relationships and Bivariate Data

A kayak rental service charges $5 for a life jacket and $7.50 per hour to rent a kayak. What is the correct equation that represents this situation?

Franklin's faucet was leaking water, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was leaking. His data is shown in the table. Find the equation Franklin can use for his leaky faucet.

The graph shows the value of a machine over a 10-year period. Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars, over this 10-year period?

The graph shows the relationship between the number of hours a paddleboat is rented and the total cost of the rental. Write and equation for the relationship, then use the equation to predict how much it would cost to rent a paddleboat for 5.5 hours.

Which statement compares the data shown on these two graphs?

Write an equation for the table above in slope-intercept form.

A dance studio offers dance lessons at a rate of $35 per x amount of lessons, plus a registration fee of $55 at sign up. Write an equation one can use to find the total cost, y, in dollars for x amount of lessons.

What is the equation that best represents the graph above?

At what rate did the rain fall?

A dog walker earns $10 plus $3 per dog. What equation represents this model?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Franklin's faucet was leaking water, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was leaking. His data is shown in the table.
Find the equation Franklin can use for his leaky faucet.