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

Question

, where w is the number of weeks, to help figure this out. Solve her inequality.(1 point)
Responses

Answer 1

To solve the inequality \( 10w + 213 \geq 299 \), follow these steps:

1. Subtract 213 from both sides: \[ 10w \geq 299 - 213 \] \[ 10w \geq 86 \]

2. Divide both sides by 10: \[ w \geq \frac{86}{10} \] \[ w \geq 8.6 \]

Since \( w \) represents the number of weeks, and it must be a whole number, we round up to the nearest whole number. Therefore, \( w \) must be at least 9.

Thus, Ellie will have enough money saved in 9 weeks.