Question

The size of the bear population at a national park increases at the rate of per year. If the size of the current population is 157, find how many bears there should be in 6 years. Use the function and round to the nearest whole number

Answer 1

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 $f(x)=157\cdot e^{0.046t}$ and round to the nearest whole number.

To find the beer population after 6 years, we will substitute $x=6$ in given function as:

$f(6)=157\cdot e^{0.046(6)}$

$f(6)=157\cdot e^{0.276}$

$f(6)=157\cdot 1.3178478640273033$

$f(6)=206.90211465$

Upon rounding to nearest whole number, we will get:

$f(6)\approx 207$

Therefore, there should be 207 beers in 6 years.