The kind of model which describes the given data best is exponential.
What is exponential graph?
An exponential graph is a curve that has a horizontal asymptote and it either has an increasing slope or a decreasing slope. i.e., it starts as a horizontal line and then it first increases/decreases slowly and then the growth/decay becomes rapid. It always cuts the y-axis at some point but it may or may not cut the x-axis. i.e., an exponential graph always has a y-intercept but it may or may not have the x-intercept.
According to the given question.
We have a data set {(-1, 0.5), (0,1), (1, 2), (3, 8), (5, 52)}.
So, if we locate this points on the graph.
We see that, when 'x' varies 'y' varies as [tex]2^{x}[/tex].
Hence, the kind of model which describes the given data best is exponential.
Thus, option B is correct.
Find out more information about exponential graph here:
https://brainly.com/question/15165011
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