?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 .
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.