Question

Y is inversely proportional to square of x when y=10 and x=3 find value of y when x=1/2

Answer 1

Answer:

y = 360

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

y = $\frac{k}{x^2}$ ← k is the constant of proportion

To find k use the condition y = 10 when x = 3 , then

10 = $\frac{k}{3^2}$ = $\frac{k}{9}$ ( multiply both sides by 9 )

90 = k

y = $\frac{90}{x^2}$ ← equation of proportion

When x = $\frac{1}{2}$ , then

y = $\frac{90}{(\frac{1}{2})^2 }$ = $\frac{90}{\frac{1}{4} }$ = 90 × 4 = 360