Question

question 12
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a population numbers 10,000 organisms initially and grows by 9.9% each year.
suppose p represents population, and t the number of years of growth. an exponential model for the population can be written in the form p = a·b^t where
a = 10,000 and b =
question help: video 1 video 2

Explanation:

Step1: Recall exponential growth formula

The exponential growth model is \( P = a \cdot b^t \), where \( a \) is the initial amount, \( b = 1 + r \), and \( r \) is the growth rate (in decimal).

Step2: Calculate \( b \)

The growth rate \( r = 9.9\% = 0.099 \). So \( b = 1 + 0.099 = 1.099 \).

Answer:

\( 1.099 \)