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?

• y = 5x + 7.50
• y = - 7.50x - 5
• y = 7.50x + 5
• x = 7.50y + 5

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

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

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

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

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

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

What is the equation that best represents the graph above?

• y = 2/3x + 5
• y = - 2/3x +5
• y = 2/3x - 5
• y = - 2/3x - 5

At what rate did the rain fall?

• 2 cm per hour
• ¹/₄ cm per hour
• ¹/₂ cm per hour
• 4 cm per hour

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.2

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

• y=3x + 10
• y=10x + 3
• y=13x
• y=10x - 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4