exponential growth word problems template

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the above formula is related to the compound-interest formula, and represents the case of the interest being compounded “continuously”. for this exercise, the units on time t will be hours, because the growth is being measured in terms of hours. i know that p = 100, and i need to find a at t = 36. but what is the growth constant “k”?

if the initial population is 100, then, in 6.5 hours, the population will be 200. i’ll set this up and solve for k: i could simplify this to a decimal approximation, but i won’t, because i don’t want to introduce round-off error if i can avoid it. the doubling time in this case is 6.5 hours, or between 6 and 7 hours. in the above case, this would start by noting that “a day and a half” is 36 hours, so we have: not all algebra classes cover this method. “exponential word problems.”

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