One - step adding/ subtraction equation / multiplication/ division problems The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.

It would take x = 72 minutes to drain the pool.

Step-by-step 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

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, 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.

∠cbe and ∠deb are same-side interior angles.

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