Problema Solution

You can only work a total of no more than 20 hours at your two part time jobs. Baby sitting pays $5 per hour and Bagging at the grocery store pays $6 per hour. You need at least $90 per week to cover your expenses. Write the system of equations for this situation, Graph it on the online graph you have bookmarked then list two possible ways that you could divide the time between Baby sitting and bagging

Answer provided by our tutors

let


s = the hours baby sitting

b = the hours bagging at the grocery store


you can only work a total of no more than 20 hours at your two part time jobs


s + b <= 20


you need at least $90 per week to cover your expenses.


5s + 6b => 90


the system will be


s + b <= 20

5s + 6b => 90

s => 0

b => 0


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One possible way is:


s = 7 h

b = 10 h


indeed


7 + 10 = 17 <= 20


7*5 + 10*6 = 95 >= 90


Second possible way is:


s = 10 h

b = 8 h


indeed


10 + 8 = 18 <= 20


5*10 + 6*8 = 98 >= 90