Ellie is saving to buy a phone. She wants to have at least $299 saved before buying one. She currently has $213 saved, and she receives $10 a week as an allowance from her parents. After how many weeks will Ellie have enough money saved? Ellie writes the inequality 10w+213≥299

Question

, where w is the number of weeks, to help figure this out. Solve her inequality.(1 point)

w≥860
w greater than or equal to 860

w≥51.2
w greater than or equal to 51.2

w≥8.6
w greater than or equal to 8.6

w≥86
w greater than or equal to 86

Answer 1

To solve Ellie’s inequality \(10w + 213 \geq 299\), we can follow these steps:

1. Subtract 213 from both sides of the inequality: \[ 10w \geq 299 - 213 \] \[ 10w \geq 86 \]

2. Divide both sides by 10: \[ w \geq \frac{86}{10} \] \[ w \geq 8.6 \]

This means Ellie will need to save for at least 8.6 weeks. Since she can't save for a fraction of a week, she will need to wait a minimum of 9 weeks to make sure she has enough money saved.

Correct Answer: \( w \geq 8.6 \) (w greater than or equal to 8.6)