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)

Question

Responses

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

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

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

The correct inequality to represent Ellie's situation is:

10w + 213 ≥ 299

where \( w \) is the number of weeks.

This inequality states that the total amount of money Ellie will have saved, which is her current savings of $213 plus $10 for each week \( w \), should be at least $299 in order for her to buy the phone.

To solve for \( w \):

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

2. Divide both sides by 10: \[ w ≥ 8.6 \]

Since \( w \) must be a whole number, Ellie will need to wait at least 9 weeks to have enough money saved.