2. A population of birds fluctuates 15% above andbelow average seasonally, and the average isdecreasing linearly. The average was 1500 tenyears ago, and is currently 800. Assume t = 0represents the peak population and assume thefrequency is one cycle per year.a. If the average remained constant at 1500,what function would model the population?Explain your reasoning in detail.b. If the average remained constant at 1500,use the function you stated above todetermine how much time of the year thepopulation would be above 1400. (Note:Show the algebraic work solving thisequation without using technology to meet c. What is the linear function representing thedecreasing average?d. What is the function modeling thispopulation? Explain your reasoning in detail.e. Use a graphing calculator, Desmos, oranother online graphing resource of yourchoice to graph the function modeling thepopulation and the function representing thedecreasing average. Upload an image here. Ifyou have difficulty attaching an image, pleasereach out to me.f. Use the graph to estimate how long ago thepopulation was last above 1400.

1500 = The average value of bird's population 15% = Fluctuations around the average value 12 =…

Answered: 2. A population of birds fluctuates 15%…

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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Similar questions

EX.1
This shows log GDP per capita for the UK. Which of the following statements are correct? Select one or more: a. The graph shows that in 1950 UK GDP per capita was about £8.75. b. The trend growth rate over the period was 0.9889% per annum. c. When actual output is below trend output the economy is in recession. d. The trend growth rate over the period was 2.14 % per annum.
The following situation can be described by a linear function. Draw a graph of the function and use the graph to answer the given quesion. Be sure to identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. The amount of sugar in a fermenting batch of beer decreases with time at a rate of 0.2 gram per day, starting from an initial amount of 5 grams. When is the sugar gone?
8. The population of a town is 12,500 and decreases by 6% each year. Write a function to use to predict the yearly decrease. Predict the population after 4 years. Use the table to show the year-to-year decrease. f(x) = Year Population 12,500 1 3 4 5 2.
2. A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the bloodstream t hours after the first dose is taken is given by the function A(t) = 400te-³t. a. Sketch the graph of the function in an appropriate window, labeling axes and scale. I b. On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing? c. When is the amount of the drug at a maximum? Label the corresponding point on the graph.
10. A thermometer reading 18° F is brought into a room the temperature of which is 70° F. One minute later, the thermometer reading is 31° F. Determine the temperature reading as a function of time, and in particular find the temperature reading 5 minutes after the thermometer is first brought into the room.
2.An object whose temperature is 100°C is placed in a medium whose temperature is A°C. The temperature of the object falls to B°C in C min. a) Express the temperature T of the object as a function of time and draw its graph roughly to the scale. b)Calculate how long will it take the object to cool to 50°C. See table below to find "your" numerical values. A 25 30 35 R 0 1 2 B 80 75 70 C 10 15 20
Corn production, C, is a function of rainfall, R (in inches), and temperature, T (in degrees C). The first figure below shows how rainfall is predicted to vary with time because of global warming; the second, how temperature is predicted to vary with time because of global warming. 15 14 13 2020 2040 Graph of rainfall, Rvs. time, t 27 25 23 2020 2040 Graph of temperature, T vs. time, t Suppose that we know that (currently) ΔC 3.2ΔR-5.3ΔΤ Use this to estimate the change in corn production between the year 2020 and the year 2021. Change = Hence, estimate dC/dt when t dC/dt = 2020.
QUESTION 7 Read the situation below and determine whether it is linear or exponential. If linear, find and interpret the rate of change. If exponential, find and interpret the percent change. Approximate if needed. The common ratio for the home prices in an Austin neighborhood is 1.08 every year for the past five years. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B IUS Paragraph Arial V 10pt ✓ ✓ A✔ AV T X Q 5 è E

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