The height of the water in an above ground pool is 3
feet. the pool needs to be drained. as the water
drains, the height of the water changes at a rate of −

inch per minute. write and solve an equation to find how many minutes it will take to drain the pool.

It would take 72 minutes.

Step-by-step explanation:

The data is:

The height of the water in the pool is 3 feet.

The water is drained by a height of 1/2 inches per minute.

We want to calculate how much time it will need to fully drain the pool.

The first thing we always need to do is have al our data in the same units, so here we need to transform feet into inches:

1  feet = 12 inches

then 3 feet = 3*12 inches = 36 inches.

Now we have that the equation that describes the height of the water in the pool is:

h = (36  - (1/2)*m) inches

where m is the number of minutes since we started draining the pool.

And the pool will be fully drained when h = 0, so we need to solve the equation:

0 = 36 - (1/2)*m

(1/2)*m = 36

m = 36*2 = 72 minutes

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !