Question

problem 8
charlie filled up the tub and gave the family dog a bath. then charlie let the water in the tub drain.
the graph shows the volume of water in the tub, in gallons, as a function of time, in minutes.
at what rate did the water drain from the tub?
gallons per minute

Explanation:

Step1: Identify drain start/end points

Drain starts at (18, 24) and ends at (30, 0).

Step2: Calculate volume change

$\Delta V = 0 - 24 = -24$ gallons

Step3: Calculate time change

$\Delta t = 30 - 18 = 12$ minutes

Step4: Compute drain rate

Rate = $\frac{\Delta V}{\Delta t} = \frac{-24}{12}$
The negative sign indicates volume decrease, so we take the magnitude for the drain rate.

Answer:

2 gallons per minute