Final answer:
Option D). The question asks for the correct equation to represent the total cost of 4 hamburgers and 3 chili dogs, which amounts to 36 dollars. The correct representation is the equation 4H + 3C = 36, a typical linear equation used in algebra to solve for the price of each item.
Step-by-step explanation:
The student's question relates to a system of equations in which the variables H and C represent the cost of a hamburger and a chili dog respectively. The correct equation to represent the total cost of purchasing 4 hamburgers and 3 chili dogs for 36 dollars is 4H + 3C = 36.
We created an equation based on the quantity of each item bought and their individual unknown pricing in order to address problems of a similar nature. The total cost of each kind of food item is represented by each term in the equation, such as 4H or 3C. We may make the equation equal to the total amount spent by adding these terms. Common in algebra, this kind of linear equation can be solved in a number of ways, such as substitution or elimination when combined with another equation to create a system.