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)
Responses

w≥860
w greater than or equal to 860

w≥86
w greater than or equal to 86

w≥8.6
w greater than or equal to 8.6

w≥51.2

Answer 1

To solve the inequality \(10w + 213 \geq 299\), we will isolate \(w\):

1. Subtract 213 from both sides:

\[ 10w \geq 299 - 213 \]

\[ 10w \geq 86 \]

2. Now, divide both sides by 10:

\[ w \geq \frac{86}{10} \]

\[ w \geq 8.6 \]

Since \(w\) represents the number of weeks, and we cannot have a fraction of a week in this context, we round up to the next whole number. Therefore, Ellie will need at least 9 weeks to have enough money saved.

So, the correct response is:

w ≥ 8.6