Question

Find the constant of proportionality. Then write an equation relating x and y. 3. y is directly proportional to x, and y = 35 when x = 7.

Answer 1

Given that y is directly proportional to x.

So it can be written as,

`y\propto x`

or,

`y=kx`

where, k is the proprtinality constant.

`\begin{gathered} k=(y)/(x) \\ k=(35)/(7) \\ k=5 \end{gathered}`

Hence, constant of proportioanlity is 5.