Question

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 $c(x)$?
select the correct answer below:
$c(x)=15 + 0.5x$.
$c(x)=15 + 5x$.
$c(x)=5 + 15x$.
$c(x)=15 + 0.05x$.

Explanation:

Step1: Identify fixed - cost

The fixed cost for new equipment is $15$.

Step2: Convert variable - cost unit

5 cents = $0.05$ dollars.

Step3: Determine variable - cost

The variable cost for $x$ cakes at $0.05$ dollars per cake is $0.05x$.

Step4: Form cost function

The cost function $C(x)$ is the sum of fixed - cost and variable - cost, so $C(x)=15 + 0.05x$.

Answer:

D. $C(x)=15 + 0.05x$