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

Create an image showing the visual representation of a young teenage girl, Caucasian descent, diligently saving money in a piggy bank. She is at a desk with a table lamp illuminating a notebook where she keeps track of her weekly savings. Also on the desk, show some unmarked paper currency and coins to depict her progression, but make sure that the money does not show any numerical values or identifiable currency traits. The room around her should have a cozy, orderly vibe, reflecting her personality and diligent habit of saving.

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)

w≥51.2

w≥860

w≥8.6

w≥86

Answer 1

To solve the inequality, begin by isolating the variable w by subtracting 213 from both sides:

10w + 213 - 213 ≥ 299 - 213
10w ≥ 86.

Then, divide both sides of the inequality by 10:
10w/10 ≥ 86/10
w ≥ 8.6.

Therefore, the solution to the inequality is w ≥ 8.6.