4. EYR In 2014, 80 deer were introduced into a wildlife refuge. By 2020, the population had grown to 180 deer. The population was growing exponentially. Write an algebraic function $N(t)$ representing the population, $N$ of deer over time, $t$, in years since 2014.
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We know that the population is growing exponentially, so we can use the exponential growth formula: N(t) = N_0 * (1 + r)^t where N(t) is the population at time t, N_0 is the initial population, r is the growth rate, and t is the time in years since 2014. Show more…
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Given: In 2006, 80 deer were introduced into a wildlife refuge. By 2012, the population had grown to 180 deer. The population was growing exponentially. Part 1 Write an exponential function N(t) representing the population N of deer over time t. Part 2 Generate a technology drawn graph of the exponential function. Part 3 Use the graph to create a table of 8 values that proves the exponential function validates the information provided. Part 4 Discuss whether the exponential function demonstrates growth or decay, and identify the rate percentage. Part 5 Use the exponential function to predict the amount of deer after 100 years.
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