Question
A small kiddie pool starts with 100 gallons of water. The pool is being drained at a constant rate of 6 gallons per minute. How many minutes could have passed if the pool now has less than 64 gallons of water left?
Write an inequality to represent the situation. Use x to represent the number of minutes.
Write an inequality to represent the situation. Use x to represent the number of minutes.
Answers
GPT-4o mini
To represent the situation with an inequality, let's first note what we know:
- The initial amount of water in the pool is 100 gallons.
- The pool is being drained at a rate of 6 gallons per minute.
- We want to find the number of minutes, \( x \), that have passed when the amount of water left in the pool is less than 64 gallons.
After \( x \) minutes, the amount of water remaining in the pool can be expressed as:
\[
100 - 6x
\]
We need to set up an inequality to represent the condition that the pool has less than 64 gallons of water left:
\[
100 - 6x < 64
\]
This inequality shows the relationship between the initial volume, the rate of drainage, the time elapsed, and the target amount of water in the pool.
- The initial amount of water in the pool is 100 gallons.
- The pool is being drained at a rate of 6 gallons per minute.
- We want to find the number of minutes, \( x \), that have passed when the amount of water left in the pool is less than 64 gallons.
After \( x \) minutes, the amount of water remaining in the pool can be expressed as:
\[
100 - 6x
\]
We need to set up an inequality to represent the condition that the pool has less than 64 gallons of water left:
\[
100 - 6x < 64
\]
This inequality shows the relationship between the initial volume, the rate of drainage, the time elapsed, and the target amount of water in the pool.