Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. Which equation represents this direct variation?

The equation that represents this direct variation is and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the equation that represents this direct variation:

Step 1 - The linear equation can be formed in order to determine the direct variation.

Step 2 - Let 'x' be the number 1, 2, 3,...so on.

Step 2 - So, the linear equation that represents the given situation is:

where '5x' is the total number of copies and 'y' is the total price.

Step 4 - The value of x and y are the same.

So, the equation that represents this direct variation is .

For more information, refer to the link given below:

link

Step-by-step explanation:

The direct variation between any two variables x and y is represented by

y = kx    where k is the constant of proportionality.

In the problem given above

Let cost price be y as it depends upon the value of copies

and x be the number of copies of art work

Thus we have equation

Y = kx  

it is given that it costs her $1 to make 5 copies, so plugging in the value of x  as 5 copies any y as $1 we have

1 = k5

k = 1/5

Thus equation is y = (1/5) x.

To check the validity of equation lets put next set of values value of x  as 25 copies , value of  y should come as $5.

y = (1/5) 25

y = 5

As we can see that $5 is the value when put x as 25.

Thus our equation y = (1/5) x is correct one.

step-by-step explanation:

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