To model the situation using linear equations, we can express the total costs based on the number of hot dogs and sodas in each combination.
For Combination 1:
- It includes 4 hot dogs and 2 sodas for a total cost of $10.
- This can be expressed as: \[ 4h + 2s = 10 \]
For Combination 2:
- It includes 6 hot dogs and 3 sodas for a total cost of $15.
- This can be expressed as: \[ 6h + 3s = 15 \]
So, the pair of linear equations that model this situation is:
- \( 4h + 2s = 10 \)
- \( 6h + 3s = 15 \)