ltepopulation of Tallahassee was about 347,000.32. Population The populations P (in thousands) of(a) Find the value of k. Is the population increasing ormodeled by P = 319.2ekt, where t represents theTallahassee, Florida, from 2005 through 2010 can bewill receive after 24 months.Tallahassee, Florida, from 2005 through 2010 canwith t = 5 corresponding to 2005. In 2006 sheyear,(Source: U.S. Census Bureau)(a) Find the value of k. Is the population increasingdecreasing? Explain.(b) Use the model to predict the populations ofTallahassee in 2015 and 2020. Are the resultsreasonable? Explain.or(c) According to the model, during what year will thepopulation reach 410,000?3. Bacteria Growth

Answered: (a) Find the value of k. Is the…

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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Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.
A mechanic's labor charge for working a given number of hours is displayed in the table shown. Hours Worked, h Labor Charge, c(in dollars) 1 89 2 149 3 209 4 269 Which equation represents the relationship between the hours worked and the mechanic's labor charge? A.c = 49.5h + 50 B.c = 45h + 44 C.c = 60h + 29 D.c = 29h + 60
The gestation period of rabbits is about 29 to 35 days. Therefore the population of a form can increase dramatically in a short period of time. The table gives a population of a form we're tea is the time in months and then is the rabbit population.
a. According to the linear model, what was the average cost of room and board at public four-year colleges for the school year ending in 2013? The average cost was $___(Round to the nearest dollar as needed.) Im looking at the graph image and still do not understand this math problem. Please help. Both answers that I came up with for this solution, 5877 were incorrect and 7228 was also incorrect.
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 29 miles per gallon on the highway if your average speed is 48 miles per hour, and it averages 26 miles per gallon on the highway if your average speed is 65 miles per hour. Answer parts (a) and (b) below. a. What is the driving time for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the driving time at 65 miles per hour? The driving time at 48 miles per hour is hours. (Type an integer or decimal rounded to two decimal places as needed.) The driving time is at 65 miles per hour is (Round to two decimal places as needed.) b. Assume a gasoline price of $4.43 per gallon. What is the gasoline cost for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the gasoline cost at 65 miles per hour? The gasoline cost at 48 miles per hour is $ (Round to two decimal places as needed.) hours. The…
Data in the table comes from the NASA Global Climate Change website. It gives the average globaltemperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, youwill see how well year correlates with the average temperature. Let ? be the number of years since1984 and ? be the average global temperature in degrees Celsius.Year 1984 1986 1988 1990 1992 1994 1996 1998 2000Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40Year 2002 2004 2006 2008 2010 2012 2014 2016 2018Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85a. Make a scatterplot of the data. Being sure to clearly label each axis. Keep in mind howeach variable is defined. Based on this scatterplot, is a linear model reasonable for this data set?Briefly explain.b. Determine the correlation coefficient for this data. Interpret this value in context.c. Determine the coefficient of determination for this data. Interpret this value incontext.d.State the regression line for the data.e. What does the…
Bacteria in a culture grow as shown in the table. Which equation represents number of bacteria, y, at time t? Days Bacteria 100 200 400 900 4 1600 a. y 100- 2 b. y 100 (2) e. y=2 d. y 200 (2)

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