Question

9. A cooler contains 4.5 gallons of water and is filling up
at a rate of 0.1 gallons per second. A second cooler
contains 7 gallons of water and is draining at a rate of
0.25 gallons per second. Which could be used to
determine the number of seconds it would take for each
cooler to contain the same amount of water?

Answer 1

The equation that can be used to determine when each cooler would contain the same amount of water is 2.5 = 0.75t.

When the coolers would have the same amount of water?

Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t

Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t

Where t represents seconds

When they have the same amount of water, the two above equations would be equal

4.5 + 0.1t = 7 + 0.25t

Combine similar terms

7 - 4.5 = 0.1t - 0.25t

2.5 = 0.75t

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