Respuesta :

Answer:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 .......(1)

And the equation that can be written that  

8.25x + 10 = 175 ....... (2)  

Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).

(Answer)

The inequality equation that can be used to represent the situation is;

x ≥ 5

8.25x + 10 ≥ 175

How to write inequality equation

  • Amount paid per hour = $8.25
  • Transport allowance per week = $10
  • Number if hours worked per week = x
  • Amount earned for working at least 5 hours per week = $175

The inequality

x ≥ 5

8.25x + 10 ≥ 175

8.25x ≥ 175 - 10

8.25x ≥ 165

x ≥ 165 ÷ 8.25

x ≥ 20

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