Question

At the end of December, Justus and Eduardo both earned a one-time bonus at work, plus their hourly wages.

Justus’ earnings are modeled by the function J(x) = 38.25x + 50.00.
Eduardo’s earnings are modeled by the function E(x) = 30.20x + 52.00.
Justus and Eduardo worked the same number of hours.
If x represents hours worked, which function represents the total monthly earnings of Justus and Eduardo, M(x)?

Answer 1

By directly adding the two given linear equations, we will see that the function that represents the total monthly earnings is:

M(x) = 68.45*x + 102.00

How to get the total earnings of Justus and Eduardo?

We know that Justus' earnings are given by:

J(x) = 38.25x + 50.00.

While Eduardo's earnings are given by:

E(x) = 30.20x + 52.00.

The earnings of both together will be given by the direct sum of the two earnings above, so we have:

M(x) = E(x) + J(x) = 38.25x + 50.00 + 30.20x + 52.00

Now we can simplify this to get:

M(x) = (38.25 + 30.20)*x + 50.00 + 52.00

M(x) = 68.45*x + 102.00

This linear equation represents the total monthly earnings of Justus and Eduardo.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491