Question

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) Responses w≥51.2 w greater than or equal to 51.2 w≥860 w greater than or equal to 860 w≥86 w greater than or equal to 86 w≥8.6

Answer 1

To solve the inequality \( 10w + 213 \geq 299 \), we can 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, we typically round up to the nearest whole number because she can't wait for a fraction of a week. Thus, Ellie will need to wait at least 9 weeks to have enough money saved.

Among the provided options, the correct response is:

• \( w \geq 8.6 \)