Question

Enter an algebralc expression to model the given context. Give your answer in simplest form.

The number of gallons of water in a tank, that already has 100 gallons in It, after being filled at 75 gallons
per minute for m minutes.
The algebraic expression is

Answer 1

The algebraic expression is
`g(m) = 100 + 75m`

Explanation:

In this problem, we should find an expression for g(m), which is the number of gallons of water in the tank after m minutes. So

The number of gallons of water in a tank, that already has 100 gallons in It, after being filled at 75 gallons per minute for m minutes.

Initially 100 gallons.

For each minute m, 75 gallons are added. So the model should be given by:

`g(m) = 100 + 75m`