Question

A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.



Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.

Keyboard Instructions
Initial graph state
The horizontal axis goes from -1.5 to 13.4 with ticks spaced every 1 unit(s).
The vertical axis goes from -1000 to 22000 with ticks spaced every 1000 unit(s).
Volume of Water in Pool
Time (h)Water in Pool (gal)

Answer 1

Plot the line segment from (0, 5000) to (12, 20000).

- Equation: V(t) = 5000 + 1250t for 0 ≤ t ≤ 12.
- Endpoints: at t = 0, V = 5000; at t = 12, V = 20000.
- (Optional points) t = 6 → V = 12500.

Use the Segment tool with endpoints (0,5000) and (12,20000). Make both endpoints filled/closed.