The amount of overtime Susan can work is 4 hours.
<u>Step-by-step explanation:</u>
It is given that, Susan earns $91 per day.
This means that, her usual pay is $91 which is the Susan's default pay per day.
From the given information,
- It is known that, she cannot earn more than $147 in a day.
- The amount of money she could get for each additional hour = $14
<u>The question is asked to write an inequality,</u>
Let the number of overtime Susan worked be 'x'.
The relationship between the number of hours of overtime Susan worked and her earnings is given by :
(amount of money for each additional hour × number of overtime hours worked) ≤ (maximum pay Susan can earn - Susan's default pay)
⇒ 14x ≤ (147-91)
⇒ 14x ≤ 56
Therefore, the above relation 14x ≤ 56 gives the amount of overtime Susan can work.
Put x = 1 hour overtime,
14 ≤ 56
Put x = 2 hours overtime,
28 ≤ 56
Put x = 3 hours overtime,
42 ≤ 56
Put x = 4 hours overtime,
56 ≤ 56
Therefore, Susan can work up to 4 hours of over time.
