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?

Question

Mathematics

Jamari Ortega

19 July, 06:55

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?

+4

Answers (2)

Know the Answer?

Jenny Tate · Answer 1

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

y>=30-2x

y<=25-x

Valentino Keith · Answer 2

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 = 150.