Question

2. If y varies inversely as x and y = 5 when x = 40, then find:
(a) the value of y when x = 20,
(b) an equation connecting x and y, and
(c) the value of x when y =8​

Answer 1

Step-by-step explanation:

As

x

and

y

are inversely proportional, the equation can be represented as

x

=

k

y

.

Substituting

x

=

2

and

y

=

12

, we get

2

=

k

12

=>

k

=

12

⋅

2

=>

k

=

24

.

Equation can be represented as

x

=

24

y

. So, when

y

=

6

, we get

x

=

24

6

=>

x

=

4