?ethel baby-sits for $three per hour. she also works as a tutor for $6 per hour. her parents only allow her to work 15 hours

baby-sits

#1

?ethel baby-sits for $three per hour. she also works as a tutor for $6 per hour. her parents only allow her to work 15 hours .

Answer:

You have to assign variables. So, let b be the hours she babysits and t be the hours she tutors.

Her income from babysitting will be 3b and her income from tutoring is 6t, so her total income is 3b + 6t.

Since she wants to make at least 60 per week, then that total income has to be ≥ 60.

3b + 6t ≥ 60

That is your 1st inequality.

Now the total number of hours she works is

b + t

and that can be at most 15, which is ≤. So the next inequality is

b + t ≤ 15

Graph the two inequalities and where the shaded regions overlap is the solution.