Question
This table shows the amount of water left in a pool over time as it is being drained. The table represents a linear function.
Time (h) Water (gal)
0 18,500
1 17,000
2 15,500
3 14,000
What does the initial value mean for this function?
Responses
Water drains from the pool at a rate of 1500 gallons each hour.
Water drains from the pool at a rate of 1500 gallons each hour.
After 3 hours, 14,000 gallons of water remain in the pool.
After 3 hours, 14,000 gallons of water remain in the pool.
After 2 hours, 15,500 gallons of water have been drained from the pool.
After 2 hours, 15,500 gallons of water have been drained from the pool.
The pool contains 18,500 gallons of water before it is drained.
Time (h) Water (gal)
0 18,500
1 17,000
2 15,500
3 14,000
What does the initial value mean for this function?
Responses
Water drains from the pool at a rate of 1500 gallons each hour.
Water drains from the pool at a rate of 1500 gallons each hour.
After 3 hours, 14,000 gallons of water remain in the pool.
After 3 hours, 14,000 gallons of water remain in the pool.
After 2 hours, 15,500 gallons of water have been drained from the pool.
After 2 hours, 15,500 gallons of water have been drained from the pool.
The pool contains 18,500 gallons of water before it is drained.
Answers
GPT-4o mini
The correct response is:
**The pool contains 18,500 gallons of water before it is drained.**
This represents the initial value of the linear function, indicating the amount of water in the pool at time \( t = 0 \).
**The pool contains 18,500 gallons of water before it is drained.**
This represents the initial value of the linear function, indicating the amount of water in the pool at time \( t = 0 \).