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x (arm) y (foot)
7 5
9 9
9 8.5
8 7
10 9
part 3
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.
7 = 0.860 x 5 + 3.302 = 7.602 9 = 0.860 x 9 + 3.302 = 11.042
9 = 0.860 x 8.5 + 3.302 = 10.612
8= 0.860 x 7 + 3.302 = 9.322 10 = 0.860 x 9 + 3.302 = 11.042
using this equation, how long would the foot of a person be if his forearm was 17 inches long?
17= 0.860 x 15.93 + 3.302
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.