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

Question

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 with a pair of linear equations, we can express the total cost of each combination in terms of the cost of a hot dog (h) and the cost of a soda (s).

1. For Combination 1, which includes 4 hot dogs and 2 sodas for $10, we can write the equation as: \[ 4h + 2s = 10 \]

2. For Combination 2, which includes 6 hot dogs and 3 sodas for $15, we can write the equation as: \[ 6h + 3s = 15 \]

So, the pair of linear equations that model this situation is:

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