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
Equation for Combination 1: 4h + 2s = 10
Equation for Combination 2: 6h + 3s = 15
Equation for Combination 1: 4h + 2s = 10
Equation for Combination 2: 6h + 3s = 15
To model this situation with linear equations, let's break it down step by step:
First, let's define the variables:
h = cost of a hot dog
s = cost of a soda
Now, let's establish the equations for each combination:
Combination 1 includes 4 hot dogs and 2 sodas for $10.
The cost of 4 hot dogs is 4h,
The cost of 2 sodas is 2s.
Therefore, the equation for combination 1 is:
4h + 2s = 10
Combination 2 includes 6 hot dogs and 3 sodas for $15.
The cost of 6 hot dogs is 6h,
The cost of 3 sodas is 3s.
Therefore, the equation for combination 2 is:
6h + 3s = 15
Thus, the pair of linear equations that model this situation are:
Equation for Combination 1: 4h + 2s = 10
Equation for Combination 2: 6h + 3s = 15