Respuesta :
Answer:
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.
The equation that represents this direct variation is [tex]5x = y[/tex] and this can be determined by forming the linear equation.
Given :
- 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.
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:
[tex]5x = y[/tex]
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 [tex]5x = y[/tex].
For more information, refer to the link given below:
https://brainly.com/question/11897796
