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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

Respuesta :

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Let [tex]x[/tex] represent the number of hard drives produced.
The first thing we need to do is convert 10 cents to dollars:
[tex]10cents( \frac{1dollar}{100cents} )=0.1dollar[/tex]. 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 [tex]x[/tex] hard drives will be: [tex]30+0.1=30.1x[/tex].
Now the only thing left is add the cost of equipment to complete our function:
[tex]f(x)=30.1x+10000[/tex]

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

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