Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the amount of $100. After repaying the loan, she wants to have at least enough money to buy herself a pair of sneakers costing $130.40. Write an inequality modeling the number of hours, x, Sophie needs to work to have enough money to buy the sneakers.

A.
x ≤ 10
B.
x ≥ 18
C.
x ≥ 10
D.
x ≤ 18

1 answer

Let's break it down:

Total cost of the sneakers = $130.40
Loan to be repaid = $100

Amount needed after repaying the loan = $130.40 - $100 = $30.40

Sophie earns $12.80 per hour babysitting.

Now, we need to find out how many hours (x) Sophie needs to work to have at least $30.40 after repaying the loan.

Inequality:
12.8x ≥ 30.40
x ≥ 30.40 / 12.8
x ≥ 2.375

Since Sophie cannot work a fraction of an hour, she must work at least 3 hours to have enough money to buy the sneakers.

Therefore, the correct inequality modeling the number of hours Sophie needs to work is:

D. x ≥ 18