Question

A line in the xy- plane has the equation y=kx, where k is a constant. The line passes through the point (1,n) and (n,16). which of the following could be the value of n?
A)1
B)2
C)4
D)8

Answer 1

Answer:

Option C) 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this problem

The equation of the line represented a direct variation

The value of k is equal to $k=y/x$

we have the points

(1,n) and (n,16)

so

$k=n/1$

$k=16/n$

equate

$n/1=16/n$

solve for n

$n^{2}=16\\ \\n=(+/-)4$

therefore

The value of n could be 4 or -4