you start a business typing papers for students and spend $3,500 on a computer and office furniture. You estimate additional costs at $0.02 per page. Write a rational function to model the total average cost per page for the first year.

Respuesta :

it'll be f(y)=0.02(y) if you're not counting the furniture, but if you are, then it'll be f(y)=3,500+0.02(y)

Rational function is an function that can be defined by a rational fraction.

A function is called the rational function if it is written in the following form,

[tex]f(x)=\dfrac{P(x)}{Q(x)}[/tex]

For the given problem the rational function can be model for the total average cost per page for the first year as,

[tex]f(x)=\dfrac{2x}{1000} +3500[/tex]

Given-

The money spend on the computer and the office furniture is $3500.

The estimate costs per page is $0.02.

To write down this function is rational function we have the knowledge of the rational function.

What is Rational function-

Rational function is an function that can be defined by a rational fraction.

A function is called the rational function if it is written in the following form,

[tex]f(x)=\dfrac{P(x)}{Q(x)}[/tex]

In the given problem the cost of furniture and computer is fixed amount which is $3500. But the cost of per page vary with the number of page is being typed. So here we write a function with one variable.

[tex]f(x)=0.002x+3500[/tex]

As to make it the rational form the value of 0.002 can be converted into the fraction. For this we need to divide the value by 1000. Thus new function will be,

[tex]f(x)=\dfrac{2x}{1000} +3500[/tex]

Hence, for the given problem the rational function can be model for the total average cost per page for the first year as,

[tex]f(x)=\dfrac{2x}{1000} +3500[/tex]

Learn more about the rational function here;

https://brainly.com/question/15324782