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19. The population of a small town was 10,800 in 2002. Since then, the population has decreased at a
rate of 2.5% each year. Write an exponential function to model the situation. Select the correction
equation.
A. p=10800(0.975)'
B. p=10800(0.25)'
C. p=1080(0.975)'
D. p=10800(1.025)'​

Respuesta :

Answer:

[tex]p = 10800(0.975)^{t}[/tex]

Step-by-step explanation:

There was a population of 108000 in a small town in 2002. Since then, the population has decreased at a  rate of 2.5% each year.

Therefore, the population is decreasing at a compound rate of 2.5% each year.

Now, using the formula of compounding we can write if p is the population after t years, then  

[tex]p = 10800( 1 - \frac{2.5}{100} )^{t}[/tex]

⇒ [tex]p = 10800(0.975)^{t}[/tex] (Answer)

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