A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. What is an exponential function that models the expected population?
1 answer:
Answer:
The exponential function is Y = 200 [1.07]ˣ
Step-by-step explanation:
Let Y represent the expected population
Let P represent the current population
Let r represent the population growth rate
let x represent the number of years or nth year.
The compound interest expression can used to derive the exponential function can be represented as follows
Y = P [1 + (r ÷ 100)]ˣ
Y = 200 [ 1 + (7 ÷ 100)]ˣ
Y = 200 [ 1 + (0.07)]ˣ
Y = 200 [1.07]ˣ
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