Question

Suppose f(x) varies directly with x and f (x) = 24 when x = 2.

Answer 1

Answer:

72

Step-by-step explanation:

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

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

To find k use the condition f(x) = 24 when x = 2

k = $\frac{f(x)}{x}$ = $\frac{24}{2}$ = 12

f(x) = 12x ← equation of variation

When x = 6, then

f(6) = 12 × 6 = 72