Question

The cost of a Whoppie Burger is $2.75 and a Whoppie Jr. Burger is $1.00. If 32 total burgers are ordered for a class, find the function denoting total cost, C(x) for all the burgers, where x is the number of Whoppie Jr. Burgers ordered.

a. C(x) = 32 + 3.75x
b. C(x) = 32 + 2.75x
c. C(x) = 88 - 1.75x
d. C(x) = 88 - 3.75x
e. None of the above

Answer 1

c. C(x) = 88 - 1.75x

Explanation:

Let's represent this with an equation. We know that the total number of burgers is 32, and the number of Whoppie Jr. is x, so the number of Whoppie is 32-x.

Each Whoppie costs 2.75, and each Whoppie Jr. costs 1, so multiply the cost by the number to get the equation:

C(x) = 1x + 2.75(32-x)

Now distribute and simplify.

C(x) = 2.75*32 + 1x -2.75x

C(x) = 88 -1.75x