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)?

a) M(x) = 170.45x
b) M(x) = 68.45x + 102.00
c) M(x) = 88.25x + 82.20
d) M(x) = 102.00x + 68.45

Answer 1

To find the total monthly earnings function M(x) for Justus and Eduardo, their individual earnings functions are added together, resulting in M(x) = 68.45x + 102.00.

Step-by-step explanation:

The function that represents the total monthly earnings of Justus and Eduardo, M(x), is found by adding together their individual earnings functions. Since Justus' earnings are modeled by J(x) = 38.25x + 50.00 and Eduardo's earnings are by E(x) = 30.20x + 52.00, we add these two functions together.

Calculating the sum, we get M(x) = (38.25x + 50.00) + (30.20x + 52.00) = 68.45x + 102.00. Therefore, the correct function for the total monthly earnings is M(x) = 68.45x + 102.00, which corresponds to option b).