Question

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

Answer 1

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.