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A country’s population grows at a rate of 0.017 per year. In the year 2000, the population was 91 million. What is the predicted population in the year 2007?

Use at least two sentences explain how to calculate the predicted population and identify the variables in the equation P(t) = P0ekt

User Toddk
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The correct equation is P(t) = Po*e^(kt). Please enclose "kt" inside parentheses and use the " ^ " symbol to indicate exponentiation.


"k" is the growth constant, which here is 0.017. "t" is the number of yeasrs. P(7) is the population after 7 years. Po is the initial population, which in this case is 91 million.


The initial value, when t = 0, is 91 million.


After 7 years, the population, P(7), was P(7) = (91 million)*e^(0.017*7). This evaluates to P(7) = (91 million)*(1.070) = 96 million

User Serban Razvan
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