Question

Lily is saving up to buy a cellphone. She needs to save at least $300 before she is able to buy the phone. Her grandfather gives her $40, and she earns $65 tutoring after school each week. Write an inequality for the number of weeks Lily will need to save to have at least $300, and describe the solutions.(2 points) x+ ≥, where x is the number of weeks Lily will need to save. Lily must save for at least weeks to have at least $300.

Answer 1

The inequality for the number of weeks Lily will need to save to have at least $300 is x + 40 + 65x ≥ 300. The solution to this inequality is x ≥ (300 - 40) / (65), which simplifies to x ≥ 4.308. Since the number of weeks must be a whole number, the solution is x ≥ 5. Therefore, Lily must save for at least 5 weeks to have at least $300.