Question

why varies directly with x and has a constant rate of change of seven. when the value of y is 12 then the value of x would be

Answer 1

The equation of a proportional relation between x and y with a constant of proportionality k is:

`y=kx`

If the constant rate of change is 7, then:

`y=7x`

If y=12, substitute that value into the equation and solve for x:

`\begin{gathered} 12=7x \\ \Rightarrow x=(12)/(7) \end{gathered}`

Therefore, if y=12 then the value of x is:

`(12)/(7)`