Question

The population (in thousands) of people of a city is approximated by the function P(t) = 1200(2)0.1038, where t is the number of years since 2011.Find the population of this group in 2019?

Answer 1

To find the population of a city in 2019, calculate P(8) using the provided exponential growth function, where t equals 8, since it's 8 years from 2011 to 2019. Then, convert the result from thousands to the total population.

Step-by-step explanation:

The student is asking for the calculation of the city's population in the year 2019 using an exponential growth function. We are given that P(t) = 1200(2)^0.1038t, where t is the number of years since 2011. To find the population in 2019, we need to calculate the population eight years after 2011 (since 2019 - 2011 = 8). So the function becomes P(8) = 1200(2)^0.1038*8.

Calculating this gives us the population in thousands. Remember to multiply your final answer by 1,000 to convert from thousands to the total population.