Problem 65 of 7
Solve for time in growth model A population of 100 increases by 5% annually to reach 300.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
isolate exponent and interpret time.
Hidden until you reveal it.
Isolate exponent and interpret time in population, investment, or bacteria contexts.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Set the growth model equal to the target.
2. Divide by the initial value.
3. Use logs to solve for time.
4. Interpret the time unit and rounding.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Negative or fractional time interpretations when context requires whole periods without noting rounding.