a gaming server charges a one time membership fee of 25$ and 7$ per game. another server doesn't charge over time fee, but charges 12$ per game. how many games must you rent in order for the cost of the servers to be the same?

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joaobezerra joaobezerra · Answer 1 · 2022-08-26T11:50:21+02:00

Using linear functions, it is found that you need to rent 5 games for the costs of the servers to be the same.

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.

Considering the membership fee as the intercept and the cost per game as the slope, the functions are:

The costs are the same when:

B(x) = A(x)

12x = 7x + 25

5x = 25

x = 5.

Hence you need to rent 5 games for the costs of the servers to be the same.

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

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