Question

3. The population of bees has been increasing by 5% each year since 2010. There were 1,000 bees counted in 2010. a. Create an explicit formula that models the bee population for n years since 2010. (Hint: What function have we studied that can be represented by this situation?)​

Answer 1

The population of bees is increasing by 5% each year since 2010. Let P(n) be the population of bees in the nth year since 2010.

The explicit formula for the bee population can be found using the formula for compound interest:

P(n) = P(0) * (1 + r)^n

where P(0) is the initial population in 2010, r is the annual growth rate, and n is the number of years since 2010.

Substituting the given values, we have:

P(n) = 1000 * (1 + 0.05)^n

Simplifying the expression, we get:

P(n) = 1000 * 1.05^n

Therefore, the explicit formula that models the bee population for n years since 2010 is P(n) = 1000 * 1.05^n.

Answer 2

Answer: 1000 x 1.05^n

Explanation:

1.05 is the increase experienced each year and n is the number of years.