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.

1 answer

Let x be the number of hours Sophie needs to work.

Since Sophie earns $12.80 per hour babysitting, she will earn 12.80x dollars after working x hours.

After repaying the loan of $100 to her parents, she will have 12.80x - 100 dollars.

She wants to have at least enough money to buy the sneakers costing $130.40, so:

12.80x - 100 ≥ 130.40

Now, we can write the inequality:

12.80x - 100 ≥ 130.40