Question

The population of Nevada could be modeled by the function P(t) = 2.02(1.036)t , where P(t) is in millions of people and t is in years since 2015. Use this function, we can predict that the average population of Nevada between the years 2015 and 2020 is________.

Answer 1

Answer: The average population of Nevada between the years 2015 and 2020 is 2.41 million

Explanation:

The population of Nevada could be modeled by the function

P(t) = 2.02(1.036)^t ,

where P(t) is in millions of people and t is in years since 2015.

The number of years, t between 2020 and 2015 is 2020 - 2015 = 5

To predict the average population of Nevada between the years 2015 and 2020, we will substitute t = 5 into the given function. It becomes

P(t) = 2.02(1.036)^5 = 2.41 million