For a certain function f = f(x), we know that f is proportional to x and that the constant of proportionality is 20. Find a formula for f.a) f(x) = 20xb) f(x) = 20c) f(x) = x+20f(x) = 20 x^20
Accepted Solution
A:
Answer:Option a - f(x)=20xStep-by-step explanation:Given : For a certain function f = f(x), we know that f is proportional to x and that the constant of proportionality is 20.To Find : A formula for f ?Solution : We have given that, f is proportional to x i.e. [tex]f\propto x[/tex]This implies [tex]f=kx[/tex]Where, k is the proportionality constantThe constant of proportionality is 20.So, [tex]f=20x[/tex]On comparing with, f = f(x)[tex]f=f(x)=20x[/tex]Therefore, The formula of f is [tex]f=f(x)=20x[/tex]So, Option a is correct.