Final answer:
To find out how many hours Michelle babysat, we need to subtract the gas fee from the total amount she received and then divide the remaining amount by her hourly rate. Michelle babysat for more than 8 hours yesterday.
Step-by-step explanation:
To find out how many hours Michelle babysat, we need to subtract the gas fee from the total amount she received and then divide the remaining amount by her hourly rate. Let's assume Michelle received $x yesterday.
After deducting $10 for gas, she would have received $x - $10 for babysitting. We know that the total amount she received is more than $100, so we can write the inequality: $x - $10 > $100.
Now, let's solve the inequality for $x:
- Add $10 to both sides: $x > $100 + $10.
- Simplify: $x > $110.
So, Michelle received more than $110. To find out how many hours she babysat, we can divide the remaining amount (total amount - gas fee) by her hourly rate:
- Let's use $x as the total amount she received: $x - $10 > $110.
- Subtract $10 from both sides: $x > $120.
- Divide both sides by $15: $x/$15 > $120/$15.
- Simplify: x/15 > 8.
So, Michelle babysat for more than 8 hours yesterday.