Answer:
y = 0.36
Step-by-step explanation:
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
To find k use the condition y = 9 when x = 2 , then
9 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
36 = k
y = [tex]\frac{36}{x^2}[/tex] ← equation of variation
When x = 10 , then
y = [tex]\frac{36}{10^2}[/tex] = [tex]\frac{36}{100}[/tex] = 0.36
