Answer :
Please consider the complete question.
The size of the bear population at a national park increases at the rate of 4.6% per year. If the size of the current population is 157, find how many bears there should be in 6 years. Use the function [tex]f(x)=157\cdot e^{0.046t}[/tex] and round to the nearest whole number.
To find the beer population after 6 years, we will substitute [tex]x=6[/tex] in given function as:
[tex]f(6)=157\cdot e^{0.046(6)}[/tex]
[tex]f(6)=157\cdot e^{0.276}[/tex]
[tex]f(6)=157\cdot 1.3178478640273033[/tex]
[tex]f(6)=206.90211465[/tex]
Upon rounding to nearest whole number, we will get:
[tex]f(6)\approx 207[/tex]
Therefore, there should be 207 beers in 6 years.