SOLUTION: 4. 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. A per

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Question 173603: 4. 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. A person's height as a function of the person's age (from age 0 to 100)
b. The probability of getting into a car accident as a function of the speed at which you drive
c. The time it takes you to get to work as a function the speed at which you drive
it's currently 4am and my brain refuses to cooperate, can't think straight...thanks in advance!!!
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
a. A person's height as a function of the person's age (from age 0 to 100)
Non-linear. Maybe sort of linear in the early years. But once you get through your teen years, your height by age flattens out. In fact, in later years you actually shrink. So non-linear.
b. The probability of getting into a car accident as a function of the speed at which you drive.
I would say non-linear here too. Speed is definitely a factor. Even more so if the independent variable is 'accidents causing death or serious injury'. But there are lots of 15 mph fender benders. I would say non-linear - but a lot more linear leaning than the first one
c. The time it takes you to get to work as a function the speed at which you drive
no-linear. those two valuse are inversely related.