Question

Determine what type of model best fits the given situation: water leaking from a local reservior at the rate of 500 gallons per hour.

Answer 1

The type of model that best fits the given situation is; A linear equation  Model

What is the model of the equation?

Right inside the local reservoir we will have an initial amount of water A.

Now, for every hour that passes by, the amount of water in the reservoir decreases by 500 gals.

Thus, after t hours, the amount of water in the reservoir is expressed as:

W = A - 500gal * t

This is clearly a linear equation model and so we can conclude that the model that fits best in the given situation is a linear model.

The domain of this model is restricted because we can't have a negative amount of water in the reservoir,  and as such the maximum value of t accepted is: W = 0 = A - 500gal*t

t = A/500 hours

Therefore, the domain of this linear relation is: t ∈ {0h, A/500 }

Read more about Equation model at; brainly.com/question/25896797

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