a towns population is currently 20,000. if the population doubles every 34 years, what will the population…
a towns population is currently 20,000. if the population doubles every 34 years, what will the population be 68 years from now? people
Answer
Explanation:
Step1: Determine number of 34 - year intervals
The time period is 68 years. Since the population doubles every 34 years, the number of 34 - year intervals $n=\frac{68}{34}=2$.
Step2: Calculate the final population
The initial population $P_0 = 20000$. The population formula for doubling is $P = P_0\times2^n$. Substituting $P_0 = 20000$ and $n = 2$ into the formula, we get $P=20000\times2^2$. $P = 20000\times4=80000$.
Answer:
80000