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.

1 answer

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 \( t = 0 \).