maria makes $15 per hour tutoring and $10 per hour babysitting. she wants to make at least $150 a week, but can work no more than 15 hours a week.

Question

write a system of linear equations

Answer 1

Let x represent hours tutoring and y represent hours babysitting. She can only work 15 hours, so the equation would be:

 

x+y= 15

 

Next, she wants to make at least $150 a week, while making $15 an hour from tutoring and $10 from babysitting. That equation would be:

 

150≥ 15x + 10y

 

So, the two equations would be:

 

x+y= 15

150≥15x +10y