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)
Item 9
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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 would be: 65x + 40 ≥ 300
The solutions to this inequality are all values of x (number of weeks) that make the expression 65x + 40 greater than or equal to 300. In other words, any number of weeks that Lily saves, where her total earnings from tutoring ($65 multiplied by the number of weeks) plus the initial amount given by her grandfather ($40) is greater than or equal to $300.
how many weeks
To find the number of weeks Lily needs to save, we can solve the inequality:
65x + 40 ≥ 300
Subtracting 40 from both sides of the inequality:
65x ≥ 260
Dividing both sides of the inequality by 65:
x ≥ 4
Therefore, Lily will need to save for at least 4 weeks to have at least $300.