A college dormitory houses 650 students, all of whom are susceptible to a particular infectious virus.On a particular day, the infectious virus had been contracted by 15 students. 3 days later, 135students had contracted the virus. The number of infected students grows at a rate that is jointlyproportional to the current number of students who have contracted the virus and the differencebetween the total number of students in the dorm and the number who have contracted the virus.a. Find a function that gives the number of students who have contracted the virus at any time t.Round to 5 decimal places, if necessary.P (t) =b. Find the number of students who have contracted the virus 5 days after its initial outbreak. Roundto the nearest student.P (5)

Step 1:To find a function that gives the number of students who have contracted the virus at any…

Answered: A college dormitory houses 650…

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

For the years from 2006 and projected to 2021, the national health care expenditures H, in billions of dollars, can be modeled by H = 2009e0.05194t where t is the number of years past 2005.† In what year are national health care expenditures expected to reach $2.5 trillion (that is, $2500 billion)?
A company buys a computer system for $ 400,000. the value of the system is depreciating at the continuous rate of 19% per year. Draw the graph of a function that models the situation.
Suppose a new breed of rabbit appears on Leroy Jenkins' farm. Initially there are 24 rabbits on the farm, but they population will double each month. Write a model to calculate the number of rabbits on the farm as a function of t, where t is the number of months since the rabbits moved in. Then find the number of rabbits on the farm after 2 years.
The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= 3.059 (1.104*). (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) b. The quadratic function that models the data is y= 6.188x2-557.818x+12,448.185. (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 127 164 242 362 559 Age 60 65 70 75 Full data set Monthly Premium (S) 946 1904 3485 5873
the operating expesnes of amazon increased from 3.6 billion in 2008 to 16.3 billion in 2012. use the information to find a linear model for amazons operating expesne E as a function of time t in years since 2010
Your starting salary is $40000 and it increased by $10675 over the next seven years. Let t be years and s your salary, and your salary is a linear function of time. Find a formula for your salary in time years.
The population of a Ukrainian village is currently 500. Based on the observed growth of the population in past years it is estimated that after 1 year the population will be 600. Similarly, it is estimated that after 2 and 3 years, the population of the village will be 720 and 864 respectively.Which function describes the relationship between year and the village population?
GRAPH THE FUNCTION FOR XL2 %3D FOR X 2
The function A = Age -0.00693x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 400 pounds of the material are placed in the vault, how much time will need to pass for only 115 pounds to remain? Round to nearest whole number. O A. 190 years O B. 360 years O C. 185 years O D. 180 years
Suppose that a student carrying a flu virus returns to campus and that four days later fifty students have been infected. Determine the number of infected students as a function time. Assume that the virus spreads at a rate that is proportional to both the number of students that have been infected and the number of students that have not been infected. Also assume that the campus population is 5000 students.
48
A population of amoebas in a petri dish will triple in size every hour. At the start of an experiment the population is 800. The function , where x is the number of hours, models the population growth. How many amoebas are in the petri dish after 9 hours?

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