Question

Damian is working two summer jobs, making $9 per hour babysitting and making $14 per hour clearing tables. In a given week, he can work a maximum of 15 total hours and must earn at least $190. If Damian worked 4 hours clearing tables, determine all possible values for the number of whole hours babysitting 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

Answer:

there are no possible solutions

Step-by-step explanation:

the maximum hr that he can spend babysitting is 11 and 11x9=99, then plus 14x4=56, $155 max

Answer 2

The maximum number of hours he can spend babysitting is 11 hours

Let b represents babysitting and c represents clearing table.

His earning is represented as:

$\mathbf{9b + 13c \ge 190}$

The maximum number of hours he can work is:

$\mathbf{b + c \le 15}$

If he works 4 hours clearing tables, then we have:

c = 4

Substitute 4 for c in the inequalities

$\mathbf{b + 4 \le 15}$

Subtract 4 from both sides

$\mathbf{b\le 11}$

The above inequality means that:

The maximum number of hours he can spend babysitting is 11 hours

Read more about inequalities at:

https://brainly.com/question/20383699