To model the situation described, we can set up two equations based on the combinations of hot dogs and sodas.
Let \( h \) represent the cost of a hot dog and \( s \) represent the cost of a soda.
For Combination 1 (4 hot dogs and 2 sodas for $10): \[ 4h + 2s = 10 \]
For Combination 2 (6 hot dogs and 3 sodas for $15): \[ 6h + 3s = 15 \]
So, the pair of linear equations that model this situation is:
- \( 4h + 2s = 10 \)
- \( 6h + 3s = 15 \)