Question

if x and y vary inversely as each other and x is equal to 8 when y is equal to 10 then value of y is ___ when x is equal to 2​

Answer 1

Answer:

The value of y is 40 when x=2.

Step-by-step explanation:

Given x is inversely proportional y.

x∝ $\frac{1}{y}$

⇒ x=$\frac{k}{y}$       (when we remove proportionality sign, constant is introduced)

here k is the constant.

Given, x=8 when y=10

Substitute the values in above equation

⇒8=$\frac{k}{10}$

⇒k=80

To find y when x=2

x=$\frac{k}{y}$

⇒y=$\frac{k}{x}$

⇒y=$\frac{80}{2}$

⇒y=40.