SOLUTION: Are the following linear or non linear functions? a. The time it takes you to get to work as a function the speed at which you drive b. The probability of getting into a car

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Are the following linear or non linear functions? a. The time it takes you to get to work as a function the speed at which you drive b. The probability of getting into a car       Log On

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Question 235804: Are the following linear or non linear functions?
a. The time it takes you to get to work as a function the 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)
I believe "A" is linear because the faster you go, the sooner your get to work and vice versa.
I believe "B is non linear beause there are many unknown elements which can determine if a person gets into an acccident besides the speed in which they travel.
I believe "C" is non linear because at a certain point we stop growing. Additionally, as we get older we may even actually get shorter.

Answer by Alan3354(21550) About Me  (Show Source):
You can put this solution on YOUR website!
B and C are definitely non-linear.
A can be linear.
d = rt
The distance is directly related to the speed and to the time.
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In t = d/r, t is inversely related to r (rate or speed). If it's graphed with axes of r and t, it's a hyperbola, not a straight line --> not linear.
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If the speed is constant, then the relation between time and distance is linear.
It's tricky.