llie 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≥860
w≥8.6
w≥86
To solve the inequality, we need to isolate the variable w.
We can start by subtracting 213 from both sides of the inequality:
10w + 213 - 213 ≥ 299 - 213
Simplifying both sides:
10w ≥ 86
To isolate w, we need to divide both sides of the inequality by 10:
10w/10 ≥ 86/10
Simplifying both sides:
w ≥ 8.6
Therefore, Ellie will have enough money saved after 8.6 weeks. Since it is not possible to have a fraction of a week, we round up to the nearest whole number.
So, Ellie will have enough money saved after 9 weeks.
The correct solution is w ≥ 8.6.