To determine how many weeks it will take for Ellie to have at least $299 saved, we can set up the following inequality:
Ellie's current savings: $213
Amount she receives per week: $10
Target savings: $299
After \( w \) weeks, Ellie's total savings would be:
\[ 213 + 10w \]
We want this amount to be at least $299, so we set up the inequality:
\[ 213 + 10w \geq 299 \]
This corresponds to the option:
10w + 213 ≥ 299, where w is the number of weeks.