Question

Jacob is a construction worker who earns a yearly Income given by the expression 2000x + 6000, where X is the number of

A.hours he works each week. Carlos works with Jacob and earns a yearly Income B.given by the expression 3800x - 39000.A
C.manager predicts that if Carlos and Jacob each work 38 hours, they will earn the Dsame amount of money.

Answer 1

The yearly income for Jacob and Carlos is given by expressions. Setting the two expressions equal to each other and solving for x will determine when they earn the same amount of money.

Step-by-step explanation:

The problem states that Jacob's yearly income is given by the expression 2000x + 6000, where x is the number of hours he works each week. Carlos' yearly income is given by the expression 3800x - 39000. The manager predicts that if both Jacob and Carlos work 38 hours, they will earn the same amount of money.

To solve this, we can set the two expressions equal to each other and solve for x:

2000x + 6000 = 3800x - 39000

Subtract 2000x from both sides:

6000 = 1800x - 39000

Add 39000 to both sides:

45000 = 1800x

Divide both sides by 1800:

x = 25

Therefore, if Jacob and Carlos each work 38 hours, they will earn the same amount of money.