Question

50.For the direct variation such that when y = 2 then x = 3, find the constant of variation ( k ) and then find the value of y when x = –0.5.

Answer 1

Explanation:

Since it's a direct variation

y = kx

where k is the constant of proportionality

To find the value of y when x = –0.5 we must first find the relationship between the variables

When

x = 3

y = 2

2 = 3k

Divide both sides by 3

`k = (3)/(2)`

So the formula for the variation is

`y = (3)/(2) x`

When x = - 0.5 or - 1/2

`y = (3)/(2) ( - (1)/(2) )`

We have the final answer as

`y = - (3)/(4)`

Hope this helps you