Find the variation constant and an equation of variation where y varies inversely as x and y equal 9 when x equals 16

The statement "y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression xy is constant :

x*y = k

k is the variation constant.

Just substitute the values in that formula :

16*9 = 4*4*9 = 172.

So the variation constant here is 172.

In order to find the equation of variation of y, you should change the equation i gave you.

y = k/x
y= 172/x

Hope this helps !

Photon

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.

Ais the correct answer