Question

Y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5

Answer 1

Answer: 3.84

hope it helped!

Answer 2

3.84

Explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

`\implies\rm y \propto (1)/(x^2)`

Let k be the constant . Therefore ,

`\implies\rm y = k (1)/(x^2)`

When y = 1.5 and x = 8 :-

• Plug in the respective values ,

`\implies\rm y = k (1)/(x^2) \\\\\implies\rm 1.5 = k * (1)/(8^2) \\\\\implies\rm k = 1.5 * 64 \\\\\implies\rm k = 96`

When x = 5 :-

`\implies\rm y = k (1)/(x^2) \\\\\implies\rm y = 96 * (1)/(5^2)=( 96)/(25) \\\\\implies\rm\boxed{ y = 3.84 }`