Question

2. The graph below shows how the water level of a swimming pool changes as the pool is

filled with water. What does the slope of the graph represent?
7
6
Depth of Water In
Swimming Pool (In foot)
N
1 2 3 4 5 6 7
Time (in hours)
A the time it takes to fill the pool completely
B. the maximum depth of the water in the pool
C. the rate at the pool fills in feet per hour
D. the rate at which the pool fills in hours per foot

Answer 1

C. the rate at the pool fills in feet per hour

Explanation:

Given

The attached graph

Required

What does the slope represent?

The slope of any graph can be calculated using:

`Slope = (Rise)/(Run)`

Where:

Rise = The change in the vertical axis

Run = The change in the horizontal axis within the same interval as the Rise

The vertical axis measures depth in feet and the horizontal axis measures time in hour.

So:

`Slope = (Depth)/(Time)`

or

`Slope = (Feet)/(Hour)`

This means that the slope measures rate in feet per hour