Question

A pool containing 21,400 gallons of water is being drained. The pool drains at a constant rate of 10 gallons per minute. Consider the function f(x), where f(x) represents the amount of water, in gallons, remaining in the pool after x minutes of draining. What is the amount of water remaining in the pool after 30 minutes?

1) 21,100 gallons
2) 20,900 gallons
3) 20,700 gallons
4) 20,500 gallons

Answer 1

To calculate the remaining water in the pool after 30 minutes of draining at a rate of 10 gallons per minute, subtract the total drained water (300 gallons) from the initial amount (21,400 gallons), resulting in 21,100 gallons.

Step-by-step explanation:

The student's question involves calculating the amount of water remaining in a pool after a certain period of time, given a constant draining rate. To find the answer, we use the function f(x) which represents the amount of water, in gallons, remaining in the pool after x minutes of draining. Given that the pool contains 21,400 gallons of water and is being drained at a rate of 10 gallons per minute, we can calculate the amount of water remaining after 30 minutes by subtracting the volume of water drained from the initial amount.

Here is the step-by-step calculation:

1. 
   
3. Calculate the total amount of water drained in 30 minutes: 10 gallons/minute × 30 minutes = 300 gallons.
4. 
   
6. Subtract the water drained from the initial amount: 21,400 gallons - 300 gallons = 21,100 gallons.

Therefore, the amount of water remaining in the pool after 30 minutes is 21,100 gallons.