A population numbers 10,000 organisms initially and grows by 16.6% each year. Suppose P\displaystyle {P}P represents population, and t\displaystyle {t}t the number of years of growth. An exponential model for the population can be written in the form P=a⋅bt\displaystyle {P}={a}\cdot{b}^{{t}}P=a⋅bt where a=\displaystyle {a}=a= and b=\displaystyle {b}=b= .
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