Question

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) = 20x

b) f(x) = 20

c) f(x) = x+20

f(x) = 20 x^20

Answer 1

Answer:

Option a - f(x)=20x

Step-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. $f\propto x$

This implies $f=kx$

Where, k is the proportionality constant

The constant of proportionality is 20.

So, $f=20x$

On comparing with, f = f(x)

$f=f(x)=20x$

Therefore, The formula of f is $f=f(x)=20x$

So, Option a is correct.