Question

The cost of producing hard drives has three parts: cost of materials, cost of labor, and cost of equipment. To produce x hard drives, the cost of materials is 30x dollars and the cost of labor is 10x cents. The cost of equipment is a one-time, fixed amount of $10,000. Which equation could represent the cost function for making x hard drives? Answer Choices f(x)=10,030.1x f(x)=10,000x+40 f(x)=30.1x+10,000 f(x)=40x−10,000

Answer 1

Let $x$ represent the number of hard drives produced.
The first thing we need to do is convert 10 cents to dollars:
$10cents( \frac{1dollar}{100cents} )=0.1dollar$. Now, we know that the the cost of materials is 30 dollars and the cost of labor is  0.1 dollars, so the total coast to produce $x$ hard drives will be: $30+0.1=30.1x$.
Now the only thing left is add the cost of equipment to complete our function:
$f(x)=30.1x+10000$

We can conclude that the equation that could represent the cost function for making x hard drives is f(x)=30.1x+10,000