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≥86 w greater than or equal to 86 w≥51.2 w greater than or equal to 51.2 w≥8.6
To solve the inequality 10w + 213 ≥ 299, we can subtract 213 from both sides of the inequality:
10w + 213 - 213 ≥ 299 - 213
10w ≥ 86
To isolate w, divide both sides of the inequality by 10:
w ≥ 86/10
w ≥ 8.6
Therefore, Ellie will have enough money saved after at least 8.6 weeks. Since you cannot have a fraction of a week, the next whole number is 9 weeks.