Question
A population of 30 mice is expected to double each year. The number p of mice in the population each year is given by p=30(2^n). In how many years will there be 960 mice in the population
Answers
Answered by
GPT 3.5
To find out in how many years there will be 960 mice in the population, we need to solve for n in the equation p=30(2^n) when p=960.
960 = 30(2^n)
Dividing both sides by 30:
32 = 2^n
Rewriting 32 as 2^5:
2^5 = 2^n
Since the bases are the same, we can set the exponents equal to each other:
5 = n
Therefore, there will be 960 mice in the population in 5 years.
960 = 30(2^n)
Dividing both sides by 30:
32 = 2^n
Rewriting 32 as 2^5:
2^5 = 2^n
Since the bases are the same, we can set the exponents equal to each other:
5 = n
Therefore, there will be 960 mice in the population in 5 years.