Question

Jacob is a construction
worker who earns a yearly income given by the expression 2000x + 4000, where X is the number of hours
he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3500x - 40000. A manager
predicts that if Carlos and jacob each work 35 hours, they will earn the same amount of money,

Answer 1

Answer:

The manager's prediction is false

Step-by-step 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

$2000x - 3500x = -4000 - 40000$

$-1500x = -44000$

Divide both sides by -1500

$\frac{-1500x}{-1500} = \frac{-44000}{-1500}$

$x = \frac{-44000}{-1500}$

$x - 29.3$

Hence, the manager's prediction is not true because $x \neq 35$