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
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.
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