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( (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