Question

PLEASE HELP!

You've determined that, in a direct variation problem, the constant of variation (k) is 1/8. What is the value of y when x is 12? Just type the value of y (a number). If it's an integer, type the integer. Otherwise, write it as a fraction in simplest form.

Answer 1

When the value of x is 12, then,

`y=1(1)/(2)`

Step-by-step explanation

The statement, y varies directly as x is written nathematically as
`y \propto x`

If we introduce the constant of proportionality, then we can write the equation,

`y=kx`

where k is the constant of proportionality. It is also called the constant of variation.

If

`k=(1)/(8)`, then the direct variation equation becomes.

`y=(1)/(8)x`

When

`x=12`, then

`y=(1)/(8)* 12`

This simplifies to

`y=(3)/(2)`

`y=1(1)/(2)`