Question

PLS HURRY! Swimming pool A started with a depth of 30 inches of water. Pool A was being filled at a rate of 2 inches per minute.

The depth of swimming pool B, as it was being filled, is shown in the table.
(in the attached image)

Write a linear equation in slope-intercept form for both swimming pools, and then determine how many minutes it took for each pool to be filled to a depth of 71 inches.

Answer 1

Equations:

A: y = 2x + 30

B: y = 3x + 6

Time to fill to 71 inches:

A: 20.5 minutes

B: 25.5 minutes

Explanation:

Pool A: starts at 30 inches, fills at 2 inches/minute

Equation: y = 2x + 30

Pool B: starts at 20 inches, fills at 3 inches/minute

Pool B slope = filling rate = (26 - 20)/(2 - 0) = 6/2 = 3

Equation: y = 3x + 20

Pool A: y = 71

71 = 2x + 30

2x = 41

x = 20.5

Pool B: y = 71

71 = 3x + 20

3x = 51

x = 25.5