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.