Is y=8x a direct variation and if it is, how do you find the constant?

1 Answer
Jun 10, 2015

In the variation y=8x
color(red)(x and y are the variables and 8 itself is the constant, ( c).

Explanation:

y=8x represents a direct variation between variables color(red)( x and y , where c =8

Looking at few examples:

  • Let color(red)(x = 2) , c = 8 so color(red)(y = 2xx 8 =16
  • Let color(red)(x = 3) , c = 8 so color(red)(y = 3xx 8 =24
  • Let color(red)(x = 4) , c = 8 so color(red)(y = 4xx 8 =32

As the values of x increase, y also increases and here 8 is the constant , only x and y keep varying and hence are variables.