How do I solve part b? I know that part a and c are correct but I'm having a hard time trying to figure out what number to plug into t for the exponent. **Population Growth Model**The population of a certain city was 299,000 in 1998, and the observed relative growth rate is 5 percent per year. **(a) Find a function that models the population after \( t \) years.**The function provided is:\[ P(t) = 299000 \times (1.05)^t \]**(b) Find the projected population in the year 2004.**The answer given is:\[ P(2004) = 4672 \](Note: The calculation seems incorrect. The function should be applied as follows: \( P(2004) = 299000 \times (1.05)^6 \).)**(c) In what year will the population reach 7,742,277?**The year provided is:\[ 2017 \]These steps illustrate how exponential growth functions can be used to model population changes over time.

Answered: Image /qna-images/answer/6983a50c-14b1-41d9-a3af-07b7211219b1.jpg

The population of a certain city was 299000 in 1998, and the observed relative growth rate is 5 percent per year. (a) Find a function that models the population after t years. Your answer is (299000)(1.05)^t (b) Find the projected population in the year 2004. Your answer is 4672 (c) In what year will the population reach 774277? Your answer is 2017

The population of a certain city was 299000 in 1998, and the observed relative growth rate is 5 percent per year. (a) Find a function that models the population after t years. Your answer is (299000)(1.05)^t (b) Find the projected population in the year 2004. Your answer is 4672 (c) In what year will the population reach 774277? Your answer is 2017

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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