During the summer, you want to earn at least $150 per week. You can earn$10 per hour working for a farmer, and $5 per hour babysitting. you can work at most 25 hrs per week. write a system of linear inequalities that models the situation

-solve your system, and tell how many hours per week you would work babysitting

-if you work 10hrs per week on the farm and 12 hours per week babysitting, will you meet your goal?

-solve your system, and tell how many hours per week you would work babysitting

-if you work 10hrs per week on the farm and 12 hours per week babysitting, will you meet your goal?

X = nr. hrs working for a farmer;

y = nr. hrs. babysitting;

x + y <= 25;

10x + 5y >= 150

a) Solve the system => one of the solution is x =5; y = 20(babysitting)

b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.

You can work only as a farmer 15 hours per week

10x+5y>=150 => 10 x >= 150- 5y :5 => 2x >=30-y => 30-2x <= y

x+y<= 25 =>

y>=30-2x

y<=25-x

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