The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 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.

The most appropriate interpretation for the slope of the data given is that height of water in the pool increases at the rate of 2 inches per minute.

The table given :

Time ____ height

2 ________ 8

4 ________ 12

6 ________ 16

8 ________ 20

10 ________24

The slope of the line = 2

The slope of a line is also called the gradient or rate of change.

The slope may be positive or negative, positive slope have positive slope values meaning an increase in x as y also increases or vice versa

Negative slope indicate a decrease in one variable as the other increases.

Since, the slope value given here is positive, we can conclude that, height of water increases as the time passes.

Hence, height of water increases 2 inches per minute.

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