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.(1 point)

Question

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Response area x + Response area ≥ Response area, where x is the number of weeks Lily will need to save.
Question 2
Solve the inequality you wrote above. What is the minimum amount of weeks she will need to save in order to buy the new phone?(1 point)
Responses

2 weeks
2 weeks

3 weeks
3 weeks

4 weeks
4 weeks

5 weeks

Answer 1

To write the inequality for the number of weeks Lily needs to save, we begin with her current savings and the amount she will earn each week.

1. She currently has $40 from her grandfather.
2. She will earn $65 each week tutoring.
3. She needs at least $300.

The inequality can be set up as follows:

\[ 40 + 65x \geq 300 \]

Now, to solve for \( x \):

1. Subtract 40 from both sides: \[ 65x \geq 300 - 40 \] \[ 65x \geq 260 \]

2. Divide both sides by 65: \[ x \geq \frac{260}{65} \] \[ x \geq 4 \]

So, the minimum amount of weeks she will need to save in order to buy the new phone is 4 weeks.