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linear function or a non-linear function

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For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function. Explain your reasoning thoroughly.

a. The time is takes to get to work as a function of speed at which you drive.
b. The probability of getting into a car accident as a function of the speed at which you drive.
c. A person's height as a function of the person's age (from age 0 to 100).

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Solution Summary

Label as a linear function or a non-linear function and justify.

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a. Suppose, the distance we drive to work every day is a constant, d. Then, the time required to travel d miles at a constant speed of s miles per hour, is t = d/s. This is clearly NOT a linear function, even from the formula. It's not of the form t = as+b for real
numbers a and b.
Or, you can argue like ...

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