Question

The population of a town is decreasing at a rate of 1% per year in 2000 there were 1300 people write an exponential decay function to model this situation then find the population in 2008.


A.) 1200 people
B.) 1300 people
C.) 1500 people
D.) 1100 people

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Based on the rate at which the population is decreasing, we can calculate that population in 2008 is A. 1,200 people

The population after a certain number of years is:

= Population now x (1 - rate) ^ number of years

The number of years is:

= 2008 - 2000

= 8 years

The population in 2008 is therefore:

= 1,300 x ( 1 - 1%)⁸

= 1,199.57

= 1,200 people

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