The function f(x) varies inversely with x and f(x) = 0.9 when x = 0.5. what is f(x) when x = 1.5? a. 0.02 b. 0.03 c. 0.3 d. 0.75(the answer is 0.3)

Option C.  

Step-by-step explanation:

step 1

we know that

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

In this problem we have

Find the value of k

so

The inverse variation function is equal to

step 2

What is f(x) when ?

substitute the value of x in the function

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)