Problema Solution
Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week, but can work no more than 12 hours a week.
Answer provided by our tutors
let
b = number of hours Charline babysits
g = the number of hours Charline is gardening
Charline can work no more than 12 hours a week
b + g <= 12
Charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week.
10b + 5g = 80 divide both sides by 5
2b + g = 16
by graphing
b + g = 12
2b + g = 80
we can spot the solutions
click here to see the graph
one possible solution is for b = 5 h and g = 6 h
indeed is she babysits for 5 hours and do the gardening 6 hours she will earn 5*10 + 5*60 = $80 and 5 + 6 = 11 < 12.