Question

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? Write an inequality that could be used to solve this problem. (1 point)
Responses

213w + 10 ≥
299, where w is the number of weeks.
213w + 10 is greater than or equal to 299, where w is the number of weeks.

213w + 10 ≤
299, where w is the number of weeks.
213w + 10 is less than or equal to 299, where w is the number of weeks.

10w + 213 ≤
299, where w is the number of weeks.
10w + 213 is less than or equal to 299, where w is the number of weeks.

10w + 213 ≥
299, where w is the number of weeks.

Answer 1

To determine how many weeks it will take Ellie to save at least $299, we can set up an inequality based on her current savings and the allowance she receives weekly.

Ellie currently has $213 saved, and she receives $10 each week. We want to find out when her total savings will be at least $299.

The total amount Ellie will have after \( w \) weeks can be represented as: \[ 213 + 10w \]

We want this total to be greater than or equal to $299, which gives us the following inequality: \[ 213 + 10w \geq 299 \]

Thus, the correct response is: 10w + 213 ≥ 299, where w is the number of weeks.