Question

{(1,0.5)(2,0.25)(3,0.125)(4,0.0625)} Which kind of model best describes the data set?

Answer 1

exponential: y = 2^(-x)

Explanation:

The y-differences are not constant, and the x-y products are not constant. For each increase in x, y is divided by 2, so this is a geometric sequence that can be described by an exponential model. The common factor is 1/2.

A simple way to write the model for this is ...

y = 2^(-x)