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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.

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 class=

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Kd20062019

Answer:

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+4000=3500x-40000

-1500x=-44000

Divide both sides by -1500

[tex]\frac{-1500}{-1500} = \frac{-44000}{-1500} \\= \frac{-44000}{-1500}\\x= -29.3[/tex]

Hence, the manager's prediction is not true because x[tex]\neq[/tex]35

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