Linear functions are used to model situations that show a constant rate of change between 2 variables. For example, the relation between feet and inches is always 12 inches/foot. so a linear function would be y = 12 x where y is the number of inches and x is the number of feet. y = 24 x models the number of hours in any given number of days {x}. Business applications abound. If a cell phone company charges a start-up fee of $50 and then $.05 for every minute used, the function is y = .05 x + 50.
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The labour cost of calling out a workman = fixed [call out] cost plus an hourly rate.
A real life example for the absolute value function is a football field. Even though the center of the field is labeled zero, you wouldn't say you ran negative feet if you went backwards..
A real life example of a cliff are the white cliffs of Dover.
There are actually quite a few real life examples of a midpoint. The Equator is an example of a midpoint.
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