Algebra

A contagious disease is infecting residents of a town of 7,300 residents.
The number of residents infected t days after the disease has begun is given by the function

f(t)=(7300)/1+500e^-0.5 t

How many residents are infected with the disease after 6 days?

  1. 👍 0
  2. 👎 0
  3. 👁 68
asked by Laurie
  1. When you transcribe formulae involving fractions written in full to a single line, please do not forget that numerators and denominators have implicit parentheses around them.
    As an example, instead of writing 7300/1+t, it should be written as 7300/(1+t).
    I suspect the same applies to the above equation. I interpret it as
    f(t):=7300/(1+500*e^(-0.5)*t)
    If you follow the correct priority of operations (using your original equation), you should arrive at
    f(6) = 281.92 = 282 persons.
    The order of operations calls for calculating -0.5t first, then do the exponentiation in the denominator, multiply by 500 and add to 1.
    Finally, divide 7300 by the resulting number in the denominator.
    Remember, a badly transcribed formula gives equally bad results.

    1. 👍 0
    2. 👎 0
    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    A contagious disease is infecting residents of a town of 7,300 residents. The number of residents infected t days after the disease has begun is given by the function f(t)= 7300/1+500e-0.5t How many residents are infected with the

    asked by joyce on November 21, 2010
  2. Math

    Write the ratio as a fraction in lowest terms of the number of residents at Adams to the number of students at Dodge. Adams=115 residents Dodge=295 residents Evans=140 residents Fisher=245 residents Brown=135 residents Carver=200

    asked by Glen on August 30, 2013
  3. ap stats

    Based on historical data, an Oregon university enrolls 17% graduates and 83% undergraduates. Of graduates, 21% are expected to be non-residents and 79% are residents. Of undergraduates, 24% are non-residents and 76% are residents.

    asked by emma on May 13, 2014
  4. calculus

    The rate at which a rumor spreads through an Alpine village of 400 residents is jointly proportional to the number of residents who have heard it and the number who have not. Initially, 5 residents heard the rumor, but 4 days

    asked by Anonymous on April 21, 2012
  5. Math

    We are learning about multiplying and dividing positive and negative numbers. The population has decreased by 300 residents, over the pass 5 years the same number of residents left each year. What was the change in population each

    asked by Iyana on August 29, 2017
  6. algebra

    A welfare association collected Rs.202500/- as a donation from the residents. If each paid as many Rupees as there were resident. find the number of residents?

    asked by Anonymous on August 13, 2013
  7. Quantitative Methods II

    The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500. a. What is the random variable? b. The mayor of Daisy City makes $2250 a month. What percentage of Daisy

    asked by Chrystal on March 19, 2009
  8. Quantitative Methods

    The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500. a. What is the random variable? b. The mayor of Daisy City makes $2250 a month. What percentage of Daisy

    asked by V on March 19, 2009
  9. EXAM TOMORROW

    Can someone check this for me, i have an exam tomorrow! I have came up with a good preposition that will highly benefit the residents as well as the tourists.The major concern of the region is the ramshackle buildings in the

    asked by EXAM TOMORROW on May 4, 2017
  10. math

    Recently a census was taken on space station Gamma. Of the 100 residents interviewed, 75 traced their ancestry to the planet Omicron, 85 traced their ancestry to the planet Omega and 60 residents traced their ancestry to both

    asked by Olivia on September 3, 2013

More Similar Questions