Answer:
It would take x = 72 minutes to drain the pool.
Explanation:
We know that the slope-intercept form of the line equation is

where m is the rate of change or slope and b is the y-intercept
- Let 'y' be the height of the water pool
- Let 'x' be the time in the minute of the water pool
As the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.
Thus,
As the water drains, the height of the water changes at a rate of -1/2 inch per minute.
- Thus, the rate of change or slope = m = -1/2
Thus, using the equation

substituting m = -1/2 and b = 36

We know that when the pool drains, the height of water reduces to zero.
Thus, substituting y = 0 in the equation

switching sides

subtract 36 from both sides


Multiplying both sides by -2

Therefore, it would take x = 72 minutes to drain the pool.