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

Question

Abigail Allen · Accepted Answer

undefined A real-world situation that can be modeled by an inverse variation equation is the relationship between the speed of a car and the time it takes to travel a certain distance. As the speed of the car increases, the time it takes to travel the distance decreases, and vice versa. This can be represented by the equation y = k/x, where y represents the time taken, x represents the speed of the car, and k is a constant.

Hazel Anglin · Answer

I tried this:

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:

#"speed"="distance"/"time"#

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

#"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=10/s# (with #s# in #(km)/h#)

Graphically: