A farm in Canada had 218 alpacas on January 1, 2004. After 8 years, the alpaca population decreases to 187. Assume the number of alpacas decays exponentially. a. Define a function f that expresses the number of alpacas on the farm in terms of the number of years. (hint: create a function that determines the number of alpacas given the years since 2004) b. Using the function defined in part (a) estimate the number of alpaca on the farm in 2013. (hint: the number of alpacas 9 years after 2004) c. Use algebraic methods to determine the year when the number of alpaca on the farm was 165. (hint: show algebraically, how to determine the number of years since 2004 when the number of alpacas is 165)
A farm in Canada had 218 alpacas on January 1, 2004. After 8 years, the alpaca population decreases to 187. Assume the number of alpacas decays exponentially.
a. Define a function f that expresses the number of alpacas on the farm in terms of the number of years. (hint: create a function that determines the number of alpacas given the years since 2004)
b. Using the function defined in part (a) estimate the number of alpaca on the farm in 2013. (hint: the number of alpacas 9 years after 2004)
c. Use algebraic methods to determine the year when the number of alpaca on the farm was 165. (hint: show algebraically, how to determine the number of years since 2004 when the number of alpacas is 165)
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