Question

The Highland Booster Club sells refreshments at the concession stand for local football games. Combination 1 includes 4 hot dogs and 2 sodas for $10. Combination 2 includes 6 hot dogs and 3 sodas for $15. Let h represent the cost of a hot dog, and let s represent the cost of a soda. Write the pair of linear equations that model this situation.(1 point) Equation for Combination 1: = 10 Equation for Combination 2: = 15

Answer 1

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:

1. \( 4h + 2s = 10 \)
2. \( 6h + 3s = 15 \)