Question

describe the rate of change for this relationship.

the amount of water devin uses
dropdown by dropdown per
minute he runs the sprinkler.

(chart: x-axis time (minutes) from 0 to 45, y-axis water used (gallons) from 0 to 1200, green line through (0,0), (10,200), (20,400), (30,600), (40,800))

Explanation:

Step1: Identify two points on line

Choose (0, 0) and (10, 200)

Step2: Calculate rate of change

Rate = $\frac{\text{Change in water}}{\text{Change in time}} = \frac{200 - 0}{10 - 0}$

Step3: Simplify to find value

$\frac{200}{10} = 20$

Step4: Describe the relationship

The water amount increases as time increases.

Answer:

The amount of water Devin uses increases by 20 gallons per minute he runs the sprinkler.