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)
Responses

w≥51.2
  w greater than or equal to 51.2

w≥860
  w greater than or equal to 860

w≥86
  w greater than or equal to 86

w≥8.6

GPT-4o mini · Answer

To solve the inequality $10w + 213 \geq 299$, we start by isolating $w$. 1. Subtract 213 from both sides: $$ 10w \geq 299 - 213 $$ $$ 10w \geq 86 $$ 2. Now, divide both sides by 10: $$ w \geq 8.6 $$ Therefore, the correct response is: **w ≥ 8.6**.