Question

Jessie 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. The company that he buys his hot dogs from was having a sale so he was able to buy the hot dogs for less. He will now sell them for $0.25 less than before. What should be changed in the equation C = .5x + 1.5 to represent this?

A) Replace the .5 with a .75
B) Replace the .5 with a .25.
C) Replace the 1.5 with a 1.25
D) Replace the 1.5 with a 1.75

Answer 1

The equation C = .5x + 1.5 changes to account for the reduced cost of a plain hot dog by altering the constant term to reflect the new price. The correct equation after reducing the price by $0.25 is C = .5x + 1.25.

Step-by-step explanation:

The student's question is about adjusting an equation to accommodate a change in the cost of a product. Since Jessie is decreasing the price of a plain hot dog by $0.25, we need to lower the constant term in the equation that represents the cost of the plain hot dog. The amended equation should reflect the new lower price of $1.25 instead of $1.50. Therefore, the correct change in the equation C = .5x + 1.5 to represent this new situation is to replace the 1.5 with a 1.25, depicting a reduction in the base price of the hot dog.

Answer 2

Given:
C = .5x + 1.5

1.5 is the charge for a plain hotdog
0.50 is the additional charge for each topping of the plain hotdog.
C is the total cost of the hotdog
x is the number of toppings ordered

Because of a sale in hotdog from supplier, the charge will be 0.25 lesser than before.

C = 0.5x + 1.5 should be changed to reflect the change

C.) Replace the 1.5 with 1.25

C = 0.5x + 1.25