Question

let x represents the speed to run the 100 meters.Represent the time to run the track as a function of the speed​

Answer 1

Hint:

If $t$ be the time to run a path measuring $d$, then the speed $s$ is given by

$\quad Speed\:(s)=\dfrac{Distance\:(d)}{Time\:(t)}$

Step-by-step explanation:

Given, $x$ represents the speed to run $100$ meters.

We have to find the function for time.

Using the relation between distance, time and speed, we can write

$\quad speed=\dfrac{distance}{time}$

$\Rightarrow x=\dfrac{100}{time}$

$\Rightarrow time=\dfrac{100}{x}$

If we consider $time\:(t)=f(x)$, then

$\quad f(x)=\dfrac{100}{x}$

Final answer:

Function for time is $f(x)=\dfrac{100}{x}$.