Problema Solution
Paul earns 7 dollars per hour at a bagel shop and 12 dollars per hour mowing lawns. Paul needs to earn at least 120 dollars per week, but he must work less than 30 hours per week. Write a system of inequalities and list two possible solutions that would be true for the system.
Answer provided by our tutors
let
b = the hours that Paul works at the bagel shop per week
m - the hours that Paul is mowing lawns per week
Paul needs to earn at least 120 dollars per week
7b + 12m >= 120
he must work less than 30 hours per week
b + m < 30
the system of inequalities is
7b + 12m >= 120
b + m < 30
draw the system of inequalities and you will able to spot the solutions
click here to see the graph
possible solutions
First solution: b = 10 hr, m = 15 hr
indeed
7*10 + 12*15 >= 120
10 + 15 < 30
Second solution: b = 5 hr, m = 20 hr
indeed
7*5 + 12*20 >= 120
5 + 20 < 30