The function f(x) varies inversely with x and f(x) = 0.2 when x = 0.4. what is f(x) when x = 1.6? 0.05 0.08 0.20 0.40

Hey there! :D

So I want you to think of a function as an input and output, where f(x)= y and x=x. 

(x,y) 

(0.4, 0.2)

So when 0.4 is equal to x, y is equal to 0.2. 

So, you can plug in the point you do know. 

(1.6, y)

Divide x by 0.4.

1.6/0.4= 4

0.2*4= 0.8

f(x)= .8 

I don't know if you added another 0 to the decimal, but the function is set up so that f(x) is half of x. 1.6/2=.8 That is the answer. 

I hope this helps!
~kaikers

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.