Question

Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 for each topping that you want. This can be modeled by the equation C = .5x + 1.5, where C is the total cost of the hot dog and x is the number of toppings you ordered. Hattie sells hamburgers at the stand next door and has the same basic cost except she charges $2.50 for a plain hamburger and then $0.25 for each additional topping. How should she change Joseph's cost equation to represent her hamburger cost?

Answer 1

since the original equation is c = (price per topping)x + (base price)

the edited equation would be c = 0.25x + 2.50

Answer 2

To solve this problem, let's first write out Joseph's equation in words. This is:

Cost = (cost of each topping)X(number of toppings) + cost of food item.

Now that we have figured this out, we can look at Hattie's stand. The problem tells us that cost of each topping is $0.25, and the hamburger is $2.50. The number of toppings will be represented by x. Now, we substitute in Hattie's costs into the equation.

C = 0.25 [cost of each topping]x + 2.50 [cost of hamburger]

Without these words, the equation is: C = 0.25x + 2.50