Whenever you have two variables that are in inverse proportion to one another.
For example, average speed is inversely related to the time taken for a journey of fixed distance. The slower you go, the longer the journey will take. Every time you see a bunch of drivers fuming at their wheels in a traffic jam, many are probably thinking hyperbola - even if most would not be able to describe one!
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The arc of a football when it is kicked is a hyperbola. The arch of a water spout from a hose. Some think the gateway arch is a hyperbola but it is a centenary arch which is close but just a little different.
hyperbola * * * * * A hyperbola is not a cubic function. A cubic function is of the form y = ax3 + bx2 + cx + d where a, b, c and d are real constants and a is not 0. A hyperbola is a functon of the form y = 1/x : quite different.
Proportions are used in real life to determine prices of things.
If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.
denominators