Question

If y varies inversely as x and y =10 when x=2, find y when x=10​

Answer 1

Answer:

Write it as an inverse proportion first

y

∝

1

x

2

Change into an equation by multiplying by a constant.

y

=

k

x

2

Find the value of the constant

k

=

x

2

×

y

=

2

2

×

10

=

40

Use the constant in the equation

y

=

40

x

2

Solve for y when x = 0.5

y

=

40

0.5

2

=

160