Respuesta :


The function f(x) varies directly with x^2, and f(x) = 75, when x = 5, What is the value of f(4)?
f(x) = kx^2 for constant k

f(5)  = 75 = 5^2k

Solve for K
75 = 5^2k
75 = 25k

Divide by 25
k = 3


Equation: f(x) = 3x^2

f(4) = 3(4)^2

f(4) = 3(16)

f(4) = 48




So, f(4) = 3.4^2  = 48



Your answer would be:  Letter Choice (C)  (48)




Hope that helps!!!!
The answer is C (48).