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≥51.2
w≥860
w≥8.6
w≥86
To solve the inequality 10w + 213 ≥ 299, we need to isolate the variable w.
First, subtract 213 from both sides of the equation: 10w ≥ 299 - 213.
Simplifying, we have 10w ≥ 86.
Now, divide both sides of the equation by 10 to solve for w: w ≥ 86/10.
Simplifying further, we have w ≥ 8.6.
So, after at least 8.6 weeks, Ellie will have enough money saved. However, since time is discrete, she cannot have a fraction of a week. Therefore, the solution is w ≥ 9.
Answer: w ≥ 9.