Question

Use the given x and y values to write a direct variation
equation.
x = 5, y = 25

Answer 1

k= 1/5

Explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

Answer 2

Equation of direct variation is :
`\mathbf{y=5x}`

Explanation:

We are given: x= 5 and y=25

We need to write equation of direct variation.

The formula for direct variation is:
`\mathbf{y=kx}`

So, if y=25 and x=5, k will be:

`y=kx\\25=k(5)\\k=(25)/(5)\\k=5`

So, equation of direct variation is :
`\mathbf{y=5x}`