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)

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

x+ 40 + 65x ≥ 300

The solutions to this inequality represent the number of weeks Lily will need to save in order to have at least $300. The inequality states that the sum of the initial amount given by her grandfather, $40, and the amount she earns tutoring each week, $65x, must be greater than or equal to $300.