Question

rosalia earns $118 per day and $23/hour for overtime.

if her contract states that she cannot earn more than $210 in a day, what is the maximum number of overtime hours she can work?

a.) 6 hours
b.) 3 hours
c.) 5 hours
d.) 4 hours

Explanation:

Set up the inequality

Using the Translating Word Problems knowledge point
Let \(h\) represent the number of overtime hours Rosalia works.
Rosalia's total daily earnings consist of her flat daily rate plus her overtime earnings:

$$118 + 23h$$

Her contract states she cannot earn more than \(\$210\) in a day, which means her total earnings must be less than or equal to \(\$210\):

$$118 + 23h \le 210$$

Solve for the number of hours

Using the Linear Inequalities knowledge point

$$
LATEXBLOCK0
$$

Determine the maximum hours

Using the Linear Inequalities knowledge point
Since \(h \le 4\), the maximum number of overtime hours she can work is exactly \(4\) hours.

Answer:

• a.) 6 hours
• b.) 3 hours
• c.) 5 hours
• d.) 4 hours (Correct answer)