Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Question

asked Dec 24, 2022 173k views

1 Answer

Haritsinh Gohil · Answer 1 · 2022-12-29T22:24:05+0000

Given:

y is directly proportional to x.

y=30 when
x=5

To find:

The equation that connects y with x.

Solution:

It is given that, y is directly proportional to x. So,

$y\propto x$

y=kx ...(i)

Where, k is the constant of proportionality.

We have,
y=30 when
x=5 . Substituting these values in (i), we get

30=k(5)

Divide both sides by 5.

(30)/(5)=k

6=k

Substituting
k=6 in (i), we get

y=6x

Therefore, the required equation is
.