Suppose you have two jobs, babysitting, which pays $5 per hour, and bagging groceries, which pays $7 per hour. You can work no more than 18 hours each week, but you need to earn at least $85 per week.

Question

Suppose you have two jobs, babysitting, which pays $5 per hour, and bagging groceries, which pays $7 per hour. You can work no more than 18 hours each week, but you need to earn at least $85 per week.

Part A: Write a system of linear inequalities to model the situation.

Let x represent the number of hours spent babysitting per week.
Let y represent the number of hours spent bagging groceries per week.

Answer 1

A: The system of linear inequalities to model the situation is:

x >= 0 (since you cannot spend negative hours babysitting)
y >= 0 (since you cannot spend negative hours bagging groceries)
x + y <= 18 (since you can work no more than 18 hours each week)
5x + 7y >= 85 (since you need to earn at least $85 per week)