Question

The variables x and y are proportional.Use the vaules to find the constant aof proportonality.Then write the equation that relates x and y. When y=72, and x=3

Answer 1

Constant of proportionality = 24

Equation:
`y=24x`

Explanation:

Given:

'x' and 'y' are proportional to each other.

At
`x=3,y=72`

Now, for a proportional relationship, the constant of proportionality is given as the ratio of the two values of the two variables that are in proportion.

Here, 'x' and 'y' are in proportion. So, the constant of proportionality is given as:

`k=(y)/(x)\\\\k=(72)/(3)=24`

Therefore, the constant of proportionality is 24.

Now, a proportional relationship in 'x' and 'y' is given as:

`y=kx`

Now, plug in the given value of 'k' and complete the equation. This gives,

`y=24x`

Therefore, the equation that relates 'x' and 'y' is
`y=24x`