Question

the table shows the height of water in a pool as it is being filled.
height of water in a pool
time (min)
2
4
6
8
10
height (in.)
8
12
16
20
24
the slope of the line through the points is 2. which statement describes how the slope relates to the height of the water in the pool?
the height of the water increases 2 inches per minute.
the height of the water decreases 2 inches per minute.
the height of the water was 2 inches before any water was added.
the height of the water will be 2 inches when the pool is filled.

Explanation:

Step1: Interpret slope meaning

Slope = $\frac{\text{Change in Height}}{\text{Change in Time}}$

Step2: Verify slope with table data

Take two points: (2,8) and (4,12). Slope = $\frac{12-8}{4-2} = \frac{4}{2} = 2$. This means height increases 2 inches per minute.

Step3: Match to options

The positive slope shows height increases at 2 inches per minute, which matches the first option.

Answer:

The height of the water increases 2 inches per minute.