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

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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