Question

Mrs. Dill is planning on baking cakes for a summer festival. In order to do this, she needs to spend $15 on new equipment to bake the cakes, plus she estimates that it will cost her 5 cents for every cake that she bakes. If x is the number of cakes that she makes, what is the cost function C(x)?a. C(x) = 15 + 0.5x.b. C(x) =15 + 5x.c. C(x) = 5 + 15x.d. C(x) = 15 +0.05x.

Answer 1

Answer: d. C(x) = 15 +0.05x.

Explanation:

The Cost function for the cake will be the sum of the fixed and variable costs that Mrs. Dill will incur per cake baked.

Fixed cost = $15

Total Variable cost = Number of cakes baked * variable cost per cake

= x * 5 cents

= x * 5 cents / 100 cents in a dollar

= 0.05x

Cost function is therefore:

= 15 + 0.05x