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.
The inequality for the number of weeks Lily will need to save to have at least $300 is:
65x + 40 ≥ 300
In this inequality, x represents the number of weeks Lily will need to save. The inequality states that 65 times the number of weeks plus 40 must be greater than or equal to 300. Lily must save for at least (solutions) weeks to have at least $300.
how many weeks?
To determine the number of weeks Lily will need to save, we solve the inequality:
65x + 40 ≥ 300
Subtracting 40 from both sides, we have:
65x ≥ 260
Dividing both sides by 65, we get:
x ≥ 4
Therefore, Lily must save for at least 4 weeks to have at least $300.