Based on census data, the population of Freedonia is modeled by the function P(t) = 309t+ 37559people, wheret represents the number of years after 1990. Use this function to determine in which yearthe population of Freedonia was increasing at a rate of 1236 people per year.Submit QuestionSign outDELL

Given query is to find the year when rate of change of population is 1236 people per year.

Answered: Based on census data, the population of…

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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Fort Wayne Crime Rate per Year |100,000 people 2012 256.2 2013 266.2 2014 229.7 2015 288 2016 307.5 2017 283.5 Find the absolute change in Fort Wayne's crime rate per 100,000 people from 2015 to 2017. (round to the nearest tenth if needed)
A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each year. Express this as a linear function. Find the salvage value. Then, find the value after six years.
A cell phone plan charges $30 per month for unlimited call and text messages, however each gigabyte (GB) of data is charged at a rate of $10 per GB. Assume that fractional values of a GB are prorated according to this rate. If a user uses more than 15 GB of data during their monthly billing cycle, then they are not charged more than the cost for the first 15 GB. Write a piecewise-defined function that describes the amount a cell phone user will pay, C, as a function of the number of GB of data they use, d, over the course of a month. (You may enter the intervals using either interval notation or as an inequality. Do not include the dollar sign in any of your answers.) Provide your answer below: The first piece of C(d) is defined in the interval The second piece is defined in the interval
Consider three independent tosses of a fair coin (so all eight possible outcomes are equally likely). Let X be the number of heads, Y be the number of tails out of the three tosses. Let Z be the number of heads out of the first two tosses. Can Z be written as a function of X? If yes, identify the function. If no, explain why.
The graphs show the various temperatures for the month of January in 2 cities. Which city has a higher variability of their January temperature?
A nationa! census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four nationa! census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the popuiation was 65.309 million and as per the census data of 2017 the popuiation was 207.774 million; a) Determine the estimation function P = f (t), where P equais the popuiation of Pakistan and t equals time measured in years since 1972. b) Interpret the slope and P intercept c) According to this function, what wii be the estimated popuiation of Pakistan in 2027 census? Census Data 250000000 200000000 150000000 100000000 50000000 1972 1981 1998 2017 Census Year Census Data Population (approx)
Student Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)
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3. Determine if the data is linear or exponential and find a function that models the data: -4 -2 0. 2 4 y 0.625 2.5 10 40 160

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