Let P t be the population in millions of a certain city t

Last updated: 9/17/2023

Let P t be the population in millions of a certain city t years after 2015 and suppose that P t satisfies the differential equation P t 0 02P t P 0 4 a Use the differential equation to determine how fast the population is growing when it reaches 5 million people b Use the differential equation to determine the population size when it is growing at a rate of 600 000 people per year c Find a formula for P t A Solve 5 0 02P t for P t B Evaluate P t 0 02 5 OC Solve P 5 0 02P t for P t D Evaluate P t 0 02P 5 The population is growing at about 0 1 million people per year when it reaches 5 million people Type an integer or decimal rounded to two decimal places as needed b Choose the correct process to find the population size when it is growing at a rate of 600 000 people per year OA Evaluate P t 0 02P 0 6 B Solve 0 6 0 02P t for P t C Evaluate P t 0 02 0 6 OD Solve P 0 6 0 02P t for P t The population size is about 30 million people when it is growing at a rate of 600 000 people per year Type an integer or decimal rounded to two decimal places as needed c P t