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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: = 10Equation for Combination 2: = 15

1 answer

To model the situation with the provided information, we can set up two linear equations based on the combinations sold at the concession stand.

Combination 1 includes 4 hot dogs and 2 sodas for $10: \[ 4h + 2s = 10 \] (Equation for Combination 1)

Combination 2 includes 6 hot dogs and 3 sodas for $15: \[ 6h + 3s = 15 \] (Equation for Combination 2)

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

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