Linear Relationship and Bivariate Data

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

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

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

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

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

Which graph shows a proportional relationship between x and y?

• F

• G

• H

• J