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, where w is the number of weeks, to help figure this out. Solve her inequality.(1 point)
Responses
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
w≥860
w greater than or equal to 860
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To solve the inequality 10w + 213 ≥ 299, we can start by subtracting 213 from both sides:
10w + 213 - 213 ≥ 299 - 213
This simplifies to:
10w ≥ 86
Next, we can divide both sides by 10 to solve for w:
w ≥ 8.6
Therefore, Ellie will have enough money saved after at least 8.6 weeks. Since we can't have a fraction of a week, the answer is w ≥ 9, meaning Ellie will have enough money saved after 9 weeks.