Question

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 $10w + 213 \geq 299$, where $w$ is the number of weeks, to help figure this out. solve her inequality. (1 point) \\( \circ w \geq 51.2 \\) \\( \circ w \geq 8.6 \\) \\( \circ w \geq 86 \\) \\( \circ w \geq 860 \\)

Explanation:

Step1: Subtract 213 from both sides

$10w + 213 - 213 \geq 299 - 213$
$10w \geq 86$

Step2: Divide both sides by 10

$\frac{10w}{10} \geq \frac{86}{10}$
$w \geq 8.6$

Answer:

$w \geq 8.6$ (corresponding to the option: $w \geq 8.6$)