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)

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)

A: w≥51.2

B: w≥860

C: w≥8.6

D: w≥86

Answer 1

C: w≥8.6

Answer 2

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Answer 3

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

The inequality is given as: 10w + 213 ≥ 299.

First, subtract 213 from both sides of the equation: 10w ≥ 299 - 213.

Simplifying further, we have: 10w ≥ 86.

Finally, divide both sides of the equation by 10 to solve for 'w': w ≥ 8.6.

So, the correct solution is option C: w ≥ 8.6.

This means that after at least 8.6 weeks (or rounded up to 9 weeks), Ellie will have enough money saved to buy the phone.

Answer 4

enough already. A dozen very similar problems, with no work of your own.

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