For each of the relationships below, explain whether you think it is best described by a linear function or a?

Question

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. How fast it takes you to get to work as a function of how fast you drive

b. Probability of getting into a car accident as a function of how fast you drive

c. Your height as a function of age (from age 0 to 100)

Answer 1

c is nonlinear height comes in bursts and doesn't change much after adult hood.

i would say the conditions surrounding the other two would determine the nature of the function. if you drive on an interstate with no traffic, then a might be linear most of the time (unless you get stopped for speeding in which case you have a big deviation)

i also think the faster you drive the more likely an accident. because you have less time to react to things. but i don't really know if it's linear.