Answered

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?

A. 0.40
B. 0.05
C. 0.20
D. 0.08

Verified Answer :

I hope this helps you

View image Anonymous
gomezmjosemiguel

Answer:

The answer is B. 0.05.

Step-by-step explanation:

To solve this problem we have that the equation varies inversely with x, so we can suppose that the equation have this form (because when x is higher f(x) will be lower):

\(f(x)=\frac{a}{x}\)

Having this and using the initial values we can find the \(a\) value:

\(f(x)=0.2\\x=0.4\\\)

Replacing this values in the initial equation and clearing it, we have:

\(a=0.2*0.4=0.08\)

knowing that a is 0.08 we can use the new x value to find the new f(x), this is:

\(f(x)=\frac{0.08}{x}=\frac{0.08}{1.6}=0.05\)

Based on this the answer is B. 0.05.

Related Questions