Question

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

hours 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

Answer:

The manager's prediction is false

Explanation:

Given

Jacob: 2000x + 4000

Carlos: 3500x - 40000

Required

Determine if both expression will be the same if x = 35

To do this;

Equate both expressions and then solve for x

i.e.

2000x+4000=3500x-40000

Collect Like Terms

2000x+4000=3500x-40000

-1500x=-44000

Divide both sides by -1500

`(-1500)/(-1500) = (-44000)/(-1500) \\= (-44000)/(-1500)\\x= -29.3`

Hence, the manager's prediction is not true because x
`\\eq`35