jabria added water to a tank by opening a valve to produce a constant stream of water. after 7 minutes, the tank contained 3,482 gallons of water. she waited 12 more minutes and observed that the tank contained 7,298 gallons of water. how much water was in the tank when jabria began adding water?

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joaobezerra joaobezerra · Answer 1 · 2022-05-10T11:17:18+02:00

Using a linear function, it is found that 1466 gallons of water were in the tank when jabria began adding water.

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we have that in 12 minutes, the amount of water increased by 3456 gallons, hence the slope is given by:

m = 3456/12 = 288.

In 7 minutes, the tank contained 3,482 gallons of water, hence the initial amount was given by:

3482 - 7 x 288 = 1466.

1466 gallons of water were in the tank when jabria began adding water.

More can be learned about linear functions at https://brainly.com/question/24808124

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