Step-by-step explanation:
When something is inversely proportional it can be solved by using the equation:
y = k/x
where k is the constant.
So using this we can plug in x and y to find the value of k.
27= k/3
Next we isolate k and find that k = 81. Now we use this to find the value of x when y = 9. Plug in y and you get x = 81/9 or x = 9
Answer:
x = 9
Step-by-step explanation:
Given that x is inversely proportional to y then the equation relating them is
x = [tex]\frac{k}{y}[/tex] ← k is the constant of variation
To find k use the given condition that x = 3 when y = 27, thus
3 = [tex]\frac{k}{27}[/tex] ( multiply both sides by 27 )
81 = k
x = [tex]\frac{81}{y}[/tex] ← equation of variation
When y = 9, then
x = [tex]\frac{81}{9}[/tex] = 9
