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

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.

This implies

Where, k is the proportionality constant

The constant of proportionality is 20.

So,

On comparing with, f = f(x)

Therefore, The formula of f is

So, Option a is correct.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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