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.

Step-by-step explanation:Sophie earns $12.80 per hour. She has to repay a loan from her parents in the amount of $100. The expression below represents the amount of money she will have after x hours of babysitting.

After paying back her parents, she wants to have at least enough money to buy a pair of sneakers costing $130.40. This situation can be represented by the inequality shown below.

To solve for x, begin by adding 100 to both sides of the inequality.

Next, divide both sides of the inequality by 12.8.

Therefore, Sophie will have to work for at least 18 hours to have enough money to buy the pair of sneakers after repaying her parents. This is represented by the inequality x ≥ 18.