theo7253
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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,

Respuesta :

MrRoyal

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.

[tex]2000x + 4000 = 3500x - 40000[/tex]

Collect Like Terms

[tex]2000x - 3500x = -4000 - 40000[/tex]

[tex]-1500x = -44000[/tex]

Divide both sides by -1500

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

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

[tex]x - 29.3[/tex]

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

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