Question

How do you find the variation constant and an equation of variation where y varies directly as x and y = 2.52 when x = 8.4?

Answer 1

Answer:

constant of variation:  

0.3

equation:  

y

=

0.3

x

Explanation:

If  

y

varies directly as  

x

XXX

y

=

c

⋅

x

for some constant (the variation constant),  

c

We are told

XXX

2.52

=

c

⋅

8.4

XXX

→

c

=

2.52

8.4

=

0.3

and therefore the variation equation is

XXX

y

=

0.3

x