Question

1. Amanda is draining her pool for resurfacing. The pool
began with 12,340 gallons of water and it is draining at a
rate of 780 gallons per hour. How long has the pool
been draining if currently there are 5,125 gallons in the
pool?

Answer 1

It would take 9.25 hours for the amount of water in the pool to be 5,125 gallons

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let y represent the amount of water in the pool after x hours. The pool began with 12,340 gallons of water and it is draining at a rate of 780 gallons per hour, hence:

y = -780x + 12340

If there is 5,125 gallons in the pool, hence:

5125 = -780x + 12340

x = 9.25 hours

It would take 9.25 hours for the amount of water in the pool to be 5,125 gallons

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