82,000 The logistic growth function f(t) models the number of people who 1+ 2732.3e-1.4t have become ill with a particular infection t weeks after its initial outbreak in a particular community. What is the limiting size of the population that becomes ill? O 2732 people 164,000 people 82,000 people 2733 people

82,000 The logistic growth function f(t) models the number of people who 1+ 2732.3e-1.4t have become ill with a particular infection t weeks after its initial outbreak in a particular community. What is the limiting size of the population that becomes ill? O 2732 people 164,000 people 82,000 people 2733 people

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Trisha has 2 boxes of marbles. She selects a marble from each box 100 times, replacing the marble…

A: Given, 2 boxes of marbles To find the probability of selecting red marble from the first box and…

Q: The cat population in a small town can be estimated with a logistic function. Data from a logistic…

A: We need to choose correct option.

Q: A function g has rule g(x) = log, (x-3) + 2. %3D а.

Q: Find the exponential function f(x) = a whose graph is given. f(x): %3D y 10 (-2, 9) 8 4. 2 3. 1 1.…

A: Given exponential function f(x)=ax and (-2, 9)∈f(x)

Q: This exercise uses the population growth model. Some bullfrogs were introduced into a small pond.…

A: Given that

Q: Consider the graph of an exponential function f(x) = b*: 11 4.5 2.

Q: Twenty years ago, Euler deposited $3000 into a college savings account which pays 4% interest,…

A: ⇒At=pert⇒At=Amount at time t⇒p=initial amount ⇒t=time in years⇒r=rate of interest

Q: The value of z in the logarithm equation In e+3 _ 8 is О 6.75 0 9 47 O 1.25 O 3.75 O 0.27

Q: A breeding group of foxes is introduced into a protected area, and the population growth follows a…

Q: 560 The logistic growth function f(t) = 025 describes the population of a species of butterflies t…

Q: Calculate N(6) Round to the nearest whole number.

A: Simply putting t=6 in given expression of N we find the value N(6) as follows :

Q: (b) Determine the logarithm of the y-values so that Y = log y. Draw a scatter diagram of the…

A: The table shows x and y values.

Q: Determine the x-intercept of the function g(x)=f(x)-6, where f(x) is an exponential function of the…

A: g(x) = 12f(x) - 6 ---(1)f(x) = acx, a ≠ 0, c>0, c≠1 ---(2)f(x + 2) - f(x + 1) = 12f(x), x ∈ R…

Q: When x = 2 and y = 4 , what is the value of ( x + y ) + (3x^2 - y)?

Q: c) Which year's production was farthest from the prediction of the logistic model? (d) What does…

A: a Logistic model for N as a Function of t Nt=23.311+6.99e-0.14t c The year 30 years after 1940 has…

Q: 1541.3389 The number of global smartphone shipments in millions t years after 2010 can be modeled by…

A: P(t)= 1541.3389/[1+4.6733e-0.7629t] The equation is for shipments made after the year 2010. A)…

Q: An exponential is function modeled by the equation k(x)=10x(1/10)x. Does the function represent…

A: Given that :An exponential is function modeled by the equation We have to determine this function…

Q: Find a logistic function that describes the given population. Then graph the population function.…

A: A logistic growth function is a function that represents the exponential growth of a certain…

Q: Find the exponential function f(x) = a whose graph is given. %3D f(x) = 2 %3D y 6. 5 (2, 4) 4 3 21

A: The given function is; f(x) = ax

Q: The annual average price per square foot for office space in a city was $30.05 in 2004, and it was…

Q: Choose the wrong statement regarding Figure 9.1 of Stock and Watson (the left graph on page 19 of…

A: Answer: Option (d) is the wrong option ❌

Q: Population of bears modeled by logistic model dp 0.008p(100 – p). What is the inflection point of p?…

Q: The number of infected students x on an isolated campus at time t is determined by the logistic…

A: To find the total number of infected students after 8 days.

Q: The following is a graph of a logistic function P=(L)/(1+Ce−kt) The marked point (25.60,17.5) is…

A: The solution is shown below-

Q: A "logistic model" is a form of exponential growth that has an upper limit. It is often used for…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Solve the problem.
82,000
The logistic growth function f(t) =
models the number of people who
1+ 2732.3e-1.4t
have become ill with a particular infection t weeks after its initial outbreak in a
particular community. What is the limiting size of the population that becomes ill?
2732 people
164,000 people
82,000 people
2733 people

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

6
33
poss The loudness of sound is measured in units called decibels. The decibel rating of a sound is given by D(i) = 10 - log where i is the intensity of the sound and i, is the minimum intensity detectable by the human ear (the so-called threshold sound). Find the decibel rating of each of the sounds with the given intensities. (a) Whisper, 114io (b) Average sound level in a movie, 10i (c) Jackhammer, 31,600,000,000io (a) If the intensity of a sound is 114ig, the decibel rating is approximately (Round to the nearest whole number as needed.) (b) If the intensity of a sound is 10ig, the decibel rating is approximately 10. (Round to the nearest whole number as needed.) (c) If the intensity of a sound is 31,600,000,000i,, the decibel rating is approximately (Round to the nearest whole number as needed) Question Viewer Enter your answer in each of the answer boxes. O Escribe aquí para buscar hp repag avpag ins inicio Jud du supr f10 fs 米 blog %3D esc & unu 7 8. # 3 4 1 2 re inicio Y U E Ga G…
K A meeting of the elders was held in a village in the early 1400's. In the meeting, the date of a future ceremony was first set, and the attendees were instructed to spread the date to their fellow villagers. In the table below, t represents the number of days that had passed since the meeting, and V represents the number of villagers that had acquired the date of the ceremony. t V 2 400 4 608 Logistic y= (y= ₁ + ac-DX) bx 1 ae O B. Linear (y = mx + b) OC. Quadratic (y = ax²+bx+c) OD. Exponential (y=a•b*) 9 1472 16 3024 Use the data to construct a scatter plot, then complete the following. 1) Using the scatter plot and the context of the problem, which of the following best describes the pattern? O A. According to the model, about know the date of the ceremony. 21 3680 Approximately how many villagers were at the meeting of the elders? About villagers were at the meeting. 24 3824 2) Using your calculator and the best of the four methods above, find the model that approximates the…
Help ASAP
The population of a country follows the exponential function f (t) =8e0075t or the logistic function g(t) = %3D 400 The population is measured in millions and t is time in years. 1 + 16e -0.025t