Question

Write an equation.

Answer 1

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

$y\propto x$

$y=kx$               ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

$10=k(8)$

$\dfrac{10}{8}=k$

$\dfrac{5}{4}=k$

Putting $k=\dfrac{5}{4}$ in (i), we get

$y=\dfrac{5}{4}x$

Therefore, the contestant of proportionality is $k=\dfrac{5}{4}$ and the equation for the proportional relationship is  $y=\dfrac{5}{4}x$.