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≥86
w greater than or equal to 86
w≥51.2
w greater than or equal to 51.2
w≥860
w greater than or equal to 860
w≥8.6
To solve the inequality, we can subtract 213 from both sides to isolate the variable w:
10w + 213 - 213 ≥ 299 - 213
10w ≥ 86
Now, we divide both sides of the inequality by 10 to solve for w:
w ≥ 8.6
Therefore, Ellie will have enough money saved after at least 8.6 weeks. However, since we can't have a fraction of a week, we round up to the nearest whole number. Therefore, Ellie will have enough money saved after at least 9 weeks. So the correct answer is w ≥ 8.6 or w ≥ 9 weeks.