Question

Joseph is working two summer jobs, making $12 per hour babysitting and making $6 per hour walking dogs. In a given week, he can work at most 9 total hours and must earn at least $90. If Joseph worked 2 hours babysitting, determine all possible values for the number of whole hours walking dogs that he must work to meet his requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answer 1

There is no possible values for the number of whole hours walking dog

Explanation:

Let x is the number of hours working as a babysitting (x ≥ 0)

Let y is the number of hours working as a walking dogs person (y ≥0)

We have a system of inequalities:

• 12x + 6y ≥ 90

• x + y ≤ 9

If Joseph worked 2 hours babysitting:

2+ y ≤ 9 <=> y ≤ 7 (y > 0) and

12x + 6y ≥ 90 <=> y ≥ 11

so there is no possible values for the number of whole hours walking dogs:

Hope it will find you well.