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1.4. Frederick works in a grocery store and also mows lawns. He earns $10 per hour a
grocery store and $8.50 per hour mowing lawns, He worked a total of 35 hours last week
which he spent x hours mowing lawns. Which is the simplified equation that represents the
relationship between his earnings, y, in dollars and the number of hours he spent working as
week?
A. y = -18.5x + 297.5
B. y = -1.5x + 350
C. y = 1.5x + 297.5
D. y = 18.5x + 350

Respuesta :

Suprexme

Answer: Im very sure the answer is

B

Step-by-step explanation:

Answer:

B. y = -1.5x + 350

Step-by-step explanation:

Givens

  • Frederick earns $10 per hour at the grocery store.
  • He earns $8.50 per hour mowing lawns.
  • He worked 35 hours last week.

[tex]x[/tex] represents hours mowing lawns, which make him earn $8.5 each.

[tex]y[/tex] represents the total earnings, mowing lawns plus grocery store.

Now, we know that he worked 35 hours in total. So, if he worked [tex]x[/tex] mowing lawns, then he worked [tex]35-x[/tex] hours in the grocery store, which represents +$10 per hour. So, this situation can be expressed as

[tex]y=8.50x+10(35-x)[/tex]

Then, we solve the operations

[tex]y=8.50x+10(35-x)\\y=8.50x+350-10x\\y=-1.5x+350[/tex]

Therefore, the right choice is B. y = -1.5x + 350

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