Applications of Inequalities Quick Check

Question

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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≥299 , 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≥8.6
w greater than or equal to 8.6

w≥51.2
w greater than or equal to 51.2

w≥86
w greater than or equal to 86
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page 15 of 15

Answer 1

To solve the inequality, we want to isolate the variable w on one side of the equation.

First, we subtract 213 from both sides: 10w + 213 - 213 ≥ 299 - 213.

This simplifies to 10w ≥ 86.

Finally, we divide both sides by 10 to solve for w: w ≥ 8.6.

Therefore, the correct answer is w ≥ 8.6.