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 one year ago
Need serious help on this one.
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
 one year ago
Need serious help on this one. An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.

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ZeHanz
 one year ago
Best ResponseYou've already chosen the best response.0General formula for this is \[P(t)=b⋅g^t\]where P is the population at time t, b is the population at the beginning (t=0) and g is the growing factor. I'd say b = 655. Do you know how to get from 18% increase per year to the growing factor per year?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1why not just use the compound interest formula A = P(1 + r/100)^t \[A = 665(1 + \frac{18}{100})^t\]

ZeHanz
 one year ago
Best ResponseYou've already chosen the best response.0Well that is just the same as realising that 18% increase means you now have 110%+18%=118%. So the amount is multiplied with 1.18, making the formula:\[P(t)=655 \cdot 1.18^t\] In the end, it's all the same...
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