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Suppose x people are eating at a (really cheap) buffet which costs $2 a person. Then the cost y is y = 2x. With a $3 off coupon it becomes y = 2x-3 (however I'm sure that most restaurants would want a sufficient number of people to make profit).

Many other real-life applications are modeled using other functions. The bell curve is among the most common form, as it is used in statistics and distributions. Population models use a logistics function, another type of transcendental function. The catenary curve occurs when a chain or power line hangs on two ends, and is modeled by the hyperbolic cosine function y = cosh(x).

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Q: Real life situation modeled by a function?
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