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)

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)

[blank] x+ [blank] ≥
, where x is the number of weeks Lily will need to save. Lily must save for at least
[blank] weeks to have at least $300.

Answer 1

65x + 40 ≥ 300, where x is the number of weeks Lily will need to save. Lily must save for at least 5 weeks to have at least $300.

The inequality represents the amount of money Lily earns from tutoring ($65) multiplied by the number of weeks she saves (x), added to the amount of money her grandfather gives her ($40), must be greater than or equal to $300.

The solution to the inequality is x ≥ 5, meaning that Lily must save for at least 5 weeks to have at least $300.