Question

Jacob is a construction worker who earns a yearly Income given by the expression 2000x + 6000, where X is the number ofhours he works each week. Carlos works with Jacob and earns a yearly Income given by the expression 3800x - 39000. A manager predicts that if Carlos and Jacob each work 38 hours, they will earn the same amount of money.

Answer 1

Carlos and Jacob will earn the same amount of money if they each work 25 hours per week.

Step-by-step explanation:

To determine when Carlos and Jacob will earn the same amount of money, we can set their respective yearly incomes equal to each other and solve for x, the number of hours worked each week. The equation is:

2000x + 6000 = 3800x - 39000

First, we can subtract 2000x from both sides to isolate the variables:

2000x - 3800x = -39000 - 6000

Simplifying, we get:

-1800x = -45000

Dividing both sides by -1800, we find that x = 25.

Therefore, Carlos and Jacob will earn the same amount of money if they each work 25 hours per week.