Question

tonya can earn $10 an hour painting houses and $15 an hour baby- sitting. She cannot work more than 15 hours per week. Write a system of inequalities that Tonya can use to determine how many hours a week she needs to work at painting x and baby sitting y to earn $150 per week.

Answer 1

Explanation:

Let x = number of hours Tonya can paint houses

Let y = number of hours Tonya can do baby-sitting

She cannot work more than 15 hours week. This means

x + y is lesser than/equal to 15

Also

Tonya can earn $10 an hour painting houses and $15 an hour baby- sitting. This means

10x + 15y

The number of hours a week she needs to work at painting x and baby sitting y to earn $150 per week will be

10x + 15y= 150