Bailey babysits for $12 an hour. She also works at an ice cream shop for $10 an hour. Her parents say she is only allowed to work a maximum 16 hours a week so she can still concentrate on her schoolwork. She wants to make at least $100 a week.

Question

a) Write an inequality to represent the number of hours Bailey can work. Explain how you got that equation.

b) Write an inequality to represent the amounts of money she can make working. Explain how you got that equation.

c) Give TWO possible combinations of hours Bailey could work. How did you get these answers? Why do these combinations work?

Answer 1

a: 16<B+S Where S is shop
b. 100<12*B + 10*(16-B) where B is the babysitting hours

c. She may not have to work sixteen hours to get 100 dollars. For instance, 10 hours Babysitting gets 100 dollars

Answer 2

Wow! I love how you're trying to get help with your test question!

a: 16>B-S
b. 100>14*b + 5*(17-B)