An organism increases in mass by 12 percent every hour. If it starts with a mass of A grams, which of the following is the correct formula connecting the current mass, M, with time t in hours.
Question
An organism increases in mass by 12 percent every hour. If it starts with a mass of A grams, which of the following is the correct formula connecting the current mass, M, with time t in hours.
Solution
The formula that connects the current mass, M, with time t in hours is given by the exponential growth formula:
M = A * (1 + r)^t
Where:
- M is the current mass
- A is the initial mass
- r is the rate of growth (in this case, 12 percent or 0.12)
- t is the time in hours
So, the formula becomes:
M = A * (1 + 0.12)^t
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