the bear population in RI has been increasing by 8% each year. In the year 2010 there were only 20 bears spotted in RI. Based on this info,a. create a function a(t) that represents the bear pop, t years since 2010b. determine bear pop in 2020c. find out when there are more than 100 bears
Accepted Solution
A:
Answer:See below in bold.Step-by-step explanation:a. The factor of growth = 1.08 per year soP = 20(1.08)^t where P = the bear population and t = the time in years since 2010.b. It is 10 years after 2010 so: In 2020: P = 20 * (1.08)^10= 43 bears.c. When P = 100 we have: 100 = 20 * (1.08)^t (1.08)^t = 100/20 = 5t ln 1.08 = ln 5t = 20.9 years.So there will be more than 100 bears in the year 2010 + 21= 2031.