Problem 54 of 7
Build an explicit exponential function for A cell culture begins with 10 cells and triples each hour.
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write f(x)=ab^x.
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Context must include initial value and multiplicative growth or decay factor.
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Solution
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1. Identify the initial amount.
2. Convert percent change to a multiplier or use the given factor.
3. Write f(x) = a*b^x.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Additive linear model for percent or factor growth.