A community swimming pool starts with 250 gallons of water. Julian starts filling the pool at a rate of 500 gallons per hour.

The relationship between the number of gallons of water in the pool and the time in hours is a linear function. Complete the sentence to explain why.
t
g
0
1
2
3
4
5
6
7
8
9
10
0
250
500
750
1,000
1,250
1,500
1,750
2,000
2,250
2,500
Time in hours
Gallons of water in the pool
This is a linear function because the graph
a straight line.

1 answer

This is a linear function because the graph of the relationship between the number of gallons of water in the pool (g) and time in hours (t) forms a straight line. The rate at which water is added to the pool remains constant, meaning that for every hour that passes, the amount of water increases by a fixed amount (500 gallons), resulting in a linear increase in the total gallons of water over time.