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population data from three towns is displayed in the tables below. Which town has growth that follows an exponential model?

population data from three towns is displayed in the tables below Which town has growth that follows an exponential model class=

Respuesta :

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.