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.

Answer 1

Let's let "w" represent the number of weeks Lily will need to save.

We know that Lily earns $65 tutoring each week and her grandfather gives her $40. Therefore, her total earnings each week can be represented by the expression: 65w + 40

To calculate the amount of money Lily will have saved after "w" weeks, we can multiply her total earnings each week by the number of weeks: (65w + 40)w = 65w^2 + 40w

According to the problem, Lily needs to save at least $300. Thus, we can write the inequality as follows: 65w^2 + 40w ≥ 300

The solutions to this inequality represent the number of weeks Lily will need to save in order to have at least $300.