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.

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.

_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

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 solutions for this inequality are all values of x greater than or equal to 5. This means that Lily can save for 5 weeks or more in order to have at least $300 and buy the cellphone.