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≥86
w≥51.2
w≥8.6
w≥860
To solve the inequality 10w + 213 ≥ 299, we need to isolate the variable w.
First, subtract 213 from both sides of the inequality:
10w ≥ 86
Then, divide both sides of the inequality by 10:
w ≥ 8.6
So, Ellie will have enough money saved after at least 8.6 weeks.
However, since the number of weeks cannot be a fraction or a decimal, we round up to the nearest whole number.
Thus, Ellie will have enough money saved after at least 9 weeks.
The correct answer is w ≥ 8.6, which can also be written as w ≥ 9 (rounding up).