If a town with a population of 10,000 doubles every 14 years, what will the population be in 42 years and is it modeled by a linear function or an exponential function?

80,000 will be the population in 42 years. It is an exponential function.

Step-by-step explanation:

If a town with a population of 10,000 doubles every 14 years.

Initial population of a town is 10,000

Point: (0,10000)

It's double every 14 years.

Point: (14,20000)

Let us suppose exponential function

Now using both point to find a and b

Using point (14,20000) and a=10000 to solve for b

Exponential function:

We need to find y at x=42

So, we put x=42 into function and solve for y

y=80,000

Thus, 80,000 will be the population in 42 years. It is an exponential function.

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step-by-step explanation:

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