P(t)=20(0.95)tThe function models P, the population of Leetown in thousands, t years after 2007. What was the population of Leetown in 2007?Choose 1 answer:(A)5 thousand(B)19 thousand(C)20 thousand(D)95 thousand
Q. P(t)=20(0.95)tThe function models P, the population of Leetown in thousands, t years after 2007. What was the population of Leetown in 2007?Choose 1 answer:(A)5 thousand(B)19 thousand(C)20 thousand(D)95 thousand
Understand function, determine population: Understand the function and determine the initial population.The function P(t)=20(0.95)t models the population of Leetown in thousands, t years after 2007. To find the population in 2007, we need to evaluate the function at t=0, because 0 years after 2007 is the year 2007 itself.
Substitute t=0: Substitute t=0 into the function to find the initial population.P(0)=20(0.95)0Since any number raised to the power of 0 is 1, we have:P(0)=20×1P(0)=20
Interpret result: Interpret the result.The population of Leetown in 2007 was 20 thousand.
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