Question

Riley is working two summer jobs making $18 per hour tutoring and making $9 per hour landscaping. In a given week she can do a maximum of 14 total hours and must earn no less than $180. If Riley worked 3 hours landscaping determine all possible values for the number of whole hours tutoring that she must work to meet her requirements.

Answer 1

To meet her requirements, Riley must work a minimum of 9 hours tutoring, but she can also work up to a maximum of 14 hours tutoring.

Step-by-step explanation:

To determine the number of whole hours tutoring that Riley must work to meet her requirements, we need to set up an equation using the given information.

Let x be the number of hours tutoring that Riley must work.

From the question, we know that Riley worked 3 hours landscaping, so the number of hours tutoring can be calculated by subtracting 3 from the total hours worked (14 hours).

We also know that Riley must earn no less than $180, so we can set up the equation:

$18(x) + $9(3) >= $180

Simplifying the equation, we have:

18x + 27 >= 180

Subtracting 27 from both sides of the equation, we get:

18x >= 153

Dividing both sides of the equation by 18, we find:

x >= 8.5

Since Riley cannot work a fraction of an hour, she must work a whole number of hours tutoring. Therefore, the possible values for the number of whole hours tutoring that she must work to meet her requirements are 9, 10, 11, 12, 13, or 14 hours.