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

Question

Write an equation in words to represent the relationship between the number of gallons of water in the pool and the time in hours.
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
Rate of change: 500
Initial amount: 250

= +

Answer 1

To express the relationship between the number of gallons of water in the pool (g) and the time in hours (t), we can formulate an equation in words as follows:

The total gallons of water in the pool (g) at any given time (t) is equal to the initial amount of water in the pool (250 gallons) plus the rate at which the pool is being filled (500 gallons per hour) multiplied by the time in hours (t).

In equation form, this can be written as:

g = 250 + 500t

So, in summary, the relationship can be described in words as: The gallons of water in the pool (g) is equal to 250 gallons plus 500 gallons for each hour of filling (t).