Question

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.
Skip to navigation

Answer 1

To find an inequality for the number of weeks Lily will need to save, we start by noting her initial amount from her grandfather, which is $40, and her weekly earnings from tutoring, which is $65.

Let's denote $x$ as the number of weeks she saves. The total amount Lily will have after $x$ weeks is given by:

$$\text{Total savings}=40+65x$$

To find out when she can buy the cellphone, we set up the inequality:

$$40+65x\ge 300$$

Next, we need to isolate $x$.

1. Subtract 40 from both sides: $$65x\ge 300-40$$ $$65x\ge 260$$

2. Divide both sides by 65: $$x\ge \frac{260}{65}$$ $$x\ge 4$$

So, the inequality that represents the number of weeks Lily will need to save is:

$$x\ge 4$$

This means that Lily must save for at least 4 weeks to have at least $300.