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?

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.