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Answer:

32

Step-by-step explanation:

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Answer:

32

Step-by-step explanation:

Given that f(x) varies directly with x then the equation relating them is

f(x) = kx ← k is the constant of variation

To find k use the condition when x = 40, f(x) = 160

k = [tex]\frac{f(x)}{x}[/tex] = [tex]\frac{160}{40}[/tex] = 4, thus

f(x) = 4x ← equation of variation

When x = 8, then

f(x) = 4 × 8 = 32