Question

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?

A 4.5x+0.1<7-0.25x
B 4.5+0.1x=7+0.25x
C 4.5+01x=7-0.25x
D 4.6x> 6.75x

Answer 1

The equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t

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

Hence the equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t

To learn more about mathematical equations, please check: brainly.com/question/26427570

#SPJ1