Question

The graph below models the relationship between time, in minutes, and the volume of water, in gallons, in a tub. (9.)

Answer 1

B. 5 gallons per minute.

Explanation:

The tub is being filled when the volume is increasing. That is, at the point where the graph has a positive slope.

To find the rate at which the tub is being filled, pick two points from the part of the graph marked with red above.

They are: (4,20) and (0,0).

Next, find the rate of change.

`\text{Rate of change=}(20-0)/(4-0)=(20)/(4)=5\text{ gallons per minute}`

The tub is being filled at a rate of 5 gallons per minute.