Question%0D%0AThe 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%0D%0Aℎ%0D%0A represent the cost of a hot dog, and let s%0D%0A%0D%0A represent the cost of a soda. Write the pair of linear equations that model this situation.(1 point)%0D%0AEquation for Combination 1: = 10%0D%0AEquation for Combination 2: = 15
Equation for Combination 1: 4h + 2s = 10
Equation for Combination 2: 6h + 3s = 15
To write the pair of linear equations that model this situation, let's first define the variables:
h represents the cost of a hot dog, and
s represents the cost of a soda.
Based on the information given, we can form the following equations:
Equation for Combination 1:
4h + 2s = 10
Equation for Combination 2:
6h + 3s = 15
So, the pair of linear equations that model this situation are:
4h + 2s = 10
6h + 3s = 15.
To write the pair of linear equations that model this situation, let's break it down step by step:
1. Let h represent the cost of a hot dog and s represent the cost of a soda.
2. For Combination 1, we are given that it includes 4 hot dogs and 2 sodas, and it costs $10. This can be represented by the equation:
4h + 2s = 10
Here, 4h represents the cost of 4 hot dogs (4 times the cost of a hot dog), and 2s represents the cost of 2 sodas (2 times the cost of a soda). The total cost of Combination 1 is equal to $10.
3. For Combination 2, we are given that it includes 6 hot dogs and 3 sodas, and costs $15. This can be represented by the equation:
6h + 3s = 15
Similarly, 6h represents the cost of 6 hot dogs, and 3s represents the cost of 3 sodas. The total cost of Combination 2 is equal to $15.
Therefore, the pair of linear equations that model this situation are:
4h + 2s = 10 (Equation for Combination 1)
6h + 3s = 15 (Equation for Combination 2)