A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?
2.5 days
5.0 days
46.6 days
66.7 days
Nvm got it c.
46.6
A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?
46.6
To determine how long it will take for the population of insects to double, we can use the formula:
Time = (Logarithm (Final Population) - Logarithm (Initial Population)) / Logarithm (Growth Rate)
In this case, the initial population is 1 and the final population is 2 (since we are trying to find the time it takes for the population to double). The growth rate is 1.5% per day, which in decimal form is 0.015.
Now, let's substitute these values into the formula:
Time = (Logarithm (2) - Logarithm (1)) / Logarithm (0.015)
Using a calculator, we find:
Time ≈ 46.6 days
Therefore, the correct answer is 46.6 days.