# What is a real world situation that can be modeled by an inverse variation equation?

Jul 2, 2018

I tried this:

#### Explanation:

I would consider something depending upon time to see how a change in it will influence something else (inversely).
I use the idea of speed:

$\text{speed"="distance"/"time}$

if you have a fixed distance, say $10 k m$ we can ask ourselves how long it will take to cover this distance (rearranging):

$\text{time"="distance"/"speed}$

we can see that increasing the speed will make the time decrease.
In a practical case we can use different means to travel, such as, walking, bycicle, car, aircraft rocket and see that the time will decrease accordingly, so that our formula can be written as:

$t = \frac{10}{s}$ (with $s$ in $\frac{k m}{h}$)

Graphically: