Adirect variation function contains the points (2, 14) and (4, 28). which equation represents the function?

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or

In this problem we have

Points and

so

Find the value of k

First point

Second point

the function is

--------> substitute the value of k

therefore

the answer is

In this problem with a single point was sufficient to calculate the equation, since in a direct variation the line passes through the origin, it is not necessary to use the formula of the slope

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680