Question

the function f(x) varies inversely with x and f(x)=0.5 when x =0.3. what is f(x) when x=2.4?

Answer 1

Answer:

0.0625

Step-by-step explanation:

If the function f(x) varies inversely with x, then this function is of the form

$f(x)=\dfrac{a}{x},$

where a is unknown number.

Since  f(x)=0.5 when x =0.3, then

$0.5=\dfrac{a}{0.3},\\ \\a=0.5\cdot 0.3=0.15.$

Therefore, the function is

$f(x)=\dfrac{0.15}{x},$

Now when x=2.4,

$f(2.4)=\dfrac{0.15}{2.4}=\dfrac{15}{240}=\dfrac{1}{16}=0.0625.$