Question

Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week. Inequality 1:

Answer 1

Kindly check explanation

Explanation:

x = number of hours Lin works in a week

Inequality (1) : Least Numbe rod hours worked

x ≥ 5 - - - (1)

Possible earning including transportation allowance :

8.25x + 10 ≥ 175 - - - (2)

Solving for X from (2)

8.25x ≥ 175 - 10

8.25x ≥ 165

x ≥ 20 hours

To earn upto 175 per week, then he has to work for 20 hours