population data from three towns is displayed in the tables below. Which town has growth that follows an exponential model?
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Answer:
A. Roseville
Step-by-step explanation:
The population growth that follows an exponential model will a common ratio between any two consecutive years.
The population of Roseville has a common ratio of [tex]\frac{3}{2}[/tex].
[tex]r =\frac{243}{162}=\frac{162}{108}=\frac{108}{72}=\frac{3}{2}[/tex]
We can therefore write an exponential function equation for this population which is
[tex]f(x)=72(\frac{3}{2})^{x-1}[/tex]
The other two population do not have a common ratio so they do not follow an exponential model.