Question

The table shows the height of water in a pool as it is

being filled.
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?
Height of Water in a Pool
Time
(min)
2
4
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
O The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
O The height of the water will be 2 inches when the pool
is filled.
6
8
10

Answer 1

Explanation:

If the slope is 2, which it is, it was found in this manner:

`m=(12-8)/(4-2)(inches)/(min) =(4)/(2)(inches)/(min) =2 (inches)/(min)`

Because the slope is positive, it is interpreted as the height of the water increasing at a constant rate of 2 inches per minute.

Answer 2

The correct statement is: "The height of the water increases 2 inches per minute."

The slope of a line represents the rate of change between two points on the line. In this case, the slope of 2 means that for every 1 minute that passes, the height of the water in the pool increases by 2 inches.

To understand this, let's consider two consecutive points on the line, such as (2, 8) and (4, 12). The change in height between these two points is 12 - 8 = 4 inches, and the change in time is 4 - 2 = 2 minutes.

Therefore, the rate of change, or slope, is 4 inches / 2 minutes = 2 inches per minute.

This means that the height of the water in the pool increases by 2 inches every minute.