Question

The number of Canada geese is counted every December 1 at the local lake. When the count started, there were 26,000 Canada geese. Each year since, the population of Canada geese has increased by 3.5%. Let t be the number of years since the count began. Let y be the total number of Canada geese. Write an exponential function showing the relationship between y and t.

          The number of Canada geese is counted every December 1 at the local lake. When the count started, there were 26,000 Canada geese. Each year since, the population of Canada geese has increased by 3.5%. Let t be the number of years since the count began. Let y be the total number of Canada geese. Write an exponential function showing the relationship between y and t.
        
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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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The number of Canada geese is counted every December 1 at the local lake. When the count started, there were 26,000 Canada geese. Each year since, the population of Canada geese has increased by 3.5%. Let t be the number of years since the count began. Let y be the total number of Canada geese. Write an exponential function showing the relationship between y and t.
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Transcript

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00:01 Population growth can be modeled by an equation of the form, y equals p -0 times b raised to the t, where p -not is the initial population, and that b is 1 plus the growth rate.
00:29 So let's find what those are and plug them into our equation.
00:33 So y is equal to the initial population we're told is 350 ,000...
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