Question

The population of a bee hive is growing with a monthly percentage rate compounded continuously. the population doubles in 3 months. find the monthly percentage rate according to the exponential growth function. leave your answer in terms of ln. note: when entering natural log in your answer, enter lowercase ln as "ln". there is no "natural log" button on the alta keyboard.

Answer 1

The exponential growth function's estimate of the monthly percentage rate is; log 3/ 3.

Explain the term exponential growth function?

• A function called exponential growth depicts an expansion within a population than happens at the same pace across time.
• If a population doubles or triples in size, you can assume that the data grows exponentially.
• Exponential decay is the inverse of exponential growth, in which data contracts rather than expands.

We will employ the exponential function, as indicated, to determine the monthly percentage rate;

P(t) = P(0)e∧(rt)

• The initial population is P0 for the bee hive.
• The end population will be 3P0 if the beginning population doubles in three months.

Enter the following parameters into the calculation to obtain the rate "r".

P(t) = P(0)e∧(rt)

3P(0) = P(0)e∧(rt)

3 = e∧(rt)

Taking log both sides.

log 3 = (rt)

r = log 3 / 3

r = 0.366

r = 36.6%

Consequently, the exponential growth function's estimate of the monthly percentage rate compounded continuously is; log 3/ 3.

To know more about the exponential growth function, here

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