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

Step-by-step 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

$k = \frac{3}{2}$

So the formula for the variation is

$y = \frac{3}{2} x$

When x = - 0.5 or - 1/2

$y = \frac{3}{2} ( - \frac{1}{2} )$

We have the final answer as

$y = - \frac{3}{4}$

Hope this helps you