The Highland booster club sells refreshments at the concession stand for local football games. Combination one includes four hotdogs and two sodas for $10 combination to include six hotdogs and three sodas for $15 each represent the cost of a hotdog and let us represent the cost of a soda write the parallel linear equation that model the situation.

1 answer

Let x represent the cost of a hotdog and y represent the cost of a soda.

From the information given, we can create two equations:

4x + 2y = 10
6x + 3y = 15

To put these equations in slope-intercept form (y = mx + b), we need to solve for y:

1. 4x + 2y = 10
2y = 10 - 4x
y = 5 - 2x

2. 6x + 3y = 15
3y = 15 - 6x
y = 5 - 2x

Therefore, the parallel linear equation that models the situation is y = 5 - 2x.