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Exponential Growth and Decay Problems 4 Form

Exponential Growth and Decay Problems 4 Form

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in this video we're going to focus on solving exponential growth and decay word problems so let's get right into it in 2005 there were a thousand rabbits on an island the population grows eight percent every year at this rate how many rabbits will there be on the island by 2020 so what should we do in this problem how can we find the answer so we need to write an equation now is this an exponential growth or decay problem since the population is growing it's an exponential growth problem the equation that you want to use is y is equal to a times b raised to the x this is basically the generic formula for exponential growth but for this particular problem a is going to represent the initial population b is going to be 1 plus r raised to the t since we're dealing with time so the initial population of rabbits is a thousand the it grows eight percent every year eight percent is basically point zero eight to convert a percentage into a decimal divide by a hu

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