Answer :
Using direct variation, the value of j when f equals 9 is 3
Variations
A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.
In the question given, we have f varying directly with j
f ∝ j
f = k j
k = f / j
f₁ / j₁ = f₂ / j₂
Substituting the values into the equation;
27 / 9 = 9 / j₂
j₂ = 9 * 9 / 27
j₂ = 81 / 27
j₂ = 3
The value of j₂ = 3
Learn more on variation here;
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Translation: We have that f varies directly with j, if f = 27 when j = 9. Calculate the value of j when f = 9