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 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.
w>_860
w>_51.2
w>_86
w>_8.6
To solve the inequality 10w + 213 ≥ 299, we first subtract 213 from both sides to isolate 10w:
10w + 213 - 213 ≥ 299 - 213
10w ≥ 86
Then, we divide both sides by 10 to solve for w:
10w/10 ≥ 86/10
w ≥ 8.6
Therefore, Ellie will have enough money saved after at least 8.6 weeks. Since a fraction of a week is not meaningful in this context, we round up to the nearest whole number:
w ≥ 9
So, after 9 weeks, Ellie will have enough money saved.