Catelyn has two summer Jobs.

Question

each week, she works at least 15 hours at a pet store and at least 6 hours as a nanny. She earns $10 per hour at the pet store and $8 per hour as a nanny. Catelyn wants to work no more than 30 hours and earn at least $250 per week. Write inequalities that model the four constraints in this situation

Answer 1

T_p ≥ 15 hours

 

T_n ≥ 6 hours

 

T_p + T_n ≤ 30 hours

 

10T_p + 8T_n ≥ 250

 

 

"at least"  →   ≥

 

"no more"  →  ≤