Question

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?

Answer 1

The answer is D 0.75 hope this can help you

Answer 2

Answer:

Option C.  $0.3$

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 $y*x=k$ or $y=k/x$

In this problem we have

$f(x)=0.9,x=0.5$

Find the value of k

$k=f(x)*x=0.9*0.5=0.45$

so

The inverse variation function is equal to

$f(x)=0.45/x$

step 2

What is f(x) when $x = 1.5$?

substitute the value of x in the function

$f(1.5)=0.45/1.5=0.3$