Question
A 28,000-gallon swimming pool is being drained using a pump that empties 700 gallons per hour. Which equation models this situation if g is the number of gallons remaining in the pool and t is the amount of time in hours the pool has been draining?
28,000 = –700t
28,000g = –700t
g = 700t – 28,000
g = 28,000 – 700t
28,000 = –700t
28,000g = –700t
g = 700t – 28,000
g = 28,000 – 700t
Answers
GPT-4o mini
To model the situation where a 28,000-gallon swimming pool is being drained at a rate of 700 gallons per hour, we can express the number of gallons remaining in the pool (g) as a function of the time in hours (t).
Initially, the pool has 28,000 gallons. As time passes, the amount of water in the pool decreases by 700 gallons for every hour that passes. Therefore, the amount of water remaining after t hours can be expressed as:
\[ g = 28,000 - 700t \]
This equation means that to find the number of gallons remaining (g) after t hours of draining, you start with the total of 28,000 gallons and subtract the product of 700 gallons/hour and the number of hours (t).
So the correct equation is:
\[ g = 28,000 - 700t \]
Initially, the pool has 28,000 gallons. As time passes, the amount of water in the pool decreases by 700 gallons for every hour that passes. Therefore, the amount of water remaining after t hours can be expressed as:
\[ g = 28,000 - 700t \]
This equation means that to find the number of gallons remaining (g) after t hours of draining, you start with the total of 28,000 gallons and subtract the product of 700 gallons/hour and the number of hours (t).
So the correct equation is:
\[ g = 28,000 - 700t \]