Question

Find an equation of variation where y varies directly as x and y=500 when x=50.

Answer 1

y

=

8

Explanation:

Explanation:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant

of variation

⇒

y

=

k

x

to find k, use the given condition for x and y

y

=

10

when

x

=

5

y

=

k

x

⇒

k

=

y

x

=

10

5

=

2

the equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

2

x

2

2

∣

∣

∣

−−−−−−−−−−−

x

=

4

→

y

=

2

×

4

=

8