Question

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

A. Springville
B. Rushmont
C. Trenton
D. None of the above

Answer 1

The town that has the growth following an exponential model is given by:

C. Trenton.

What is an exponential function?

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

• A(0) is the initial value.

• r is the growth rate, as a decimal.

From this, we get that the rate of change is a percent, not a constant number. From the table, Springville and Rushmont have constant rates of change of 38 and of 31, respectively, hence their growths are linear. Trenton, otherwise, has an exponential rate of change, hence option C is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

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