Question

If y varies directly with x and y = 25 when x = 5, what is the value of k? how does this work when y = kx?

Answer 1

If y = 25 and x = 5

25 = 5k

k = 5

Answer 2

The value of k when x=5 and y=25 is:

k=5

Explanation:

Direct variation--

Two variables are said to be in direct variation if one variable could be written as a constant multiple of the other variable.

i.e. x and y are said to be in direct variation.

if there exist a constant k such that:

`y=kx`

or if x is non-zero then we have:

`k=(y)/(x)`

Here we are given x=5 and y=25

This means that the value of k is:

`k=(25)/(5)\\\\i.e.\\\\k=5`