Use constant differences or ratios to determine which parents function would best model the given data set?

Question

x- 2  4    6    8    10    12

y- 5 10  15  20   25    30

 

A) exponential

B) linear

C) quadratic

D) square root

Answer 1

Differences or ratios.  O.K. --

    x=     2       4         6         8         10         12   (note: these are evenly separated by 2)

    y=     5     10       15        20        25         30    (note: these are evenly separated by 5)

                                                                          I realize that 5 is 2.5 times 2

So,  y = 2.5x fits the values given.  X is a linear function of y.