Compare rates of change.

a. the equation below can be used to find the length of a foot or forearm when you know one or the other.

(length of the foot) = 0.860 • (length of the forearm) + 3.302

if you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.

using this equation, how long would the foot of a person be if his forearm was 17 inches long?

b. what is the rate of change of the equation from part a?

compare the equation from part a to your data. are they the same? which has a greater rate of change? why do you think the values are different?

c. is the relation in your data a function? why or why not? could the equation in part a represent a function? why or why not? explain your answer.