Question: If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after hours is n = f(t) =

If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after hours is n = f(t) = 100 ∙ 2t/3.
(a) Find the inverse of this function and explain its meaning.
(b) When will the population reach 50,000?

Step by Step Solution

★★★★★

3.47 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a n ft 100 2 t3 n100 2 t3 log 2 n100 t3 t 3 log 2 n100 Us... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

786-C-F-M (327).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Suppose that a bacteria population starts with 500 bacteria and triples every hour. (a) What is the population after 3 hours? After 4 hours after hours? (b) Use (5) in Section 3.1 to estimate the...

A bacteria population starts with 400 bacteria and grows at a rate of bacteria per hour. How many bacteria will there be after three hours? |(1) = (450.268)e1.125671|

A honeybee population starts with 100 bees and increases at a rate of n(t) bees per week. What does 1000 + 15 n (t) dt represent?

If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n = f(t) = 100(2*/3). (a) Find the inverse of this function (explain its...

If a bacteria population starts with 80 bacteria and doubles every two hours then the number of bacteria after t hours is n f t 80 2t 2 a Find the inverse of this function f n Explain its meaning in...

If a bacteria population starts with 1 2 0 bacteria and doubles every two hours, then the number of bacteria after t hours is n = f ( t ) = 1 2 0 2 t / 2 . ( a ) Find the inverse of this function. f...

If a bacteria population starts with 8 0 bacteria and doubles every three hours, then the number of bacteria after t hours is n = f ( t ) = 8 0 2 t 3 . ( a ) Find the inverse of this function....

If a bacteria population starts with 1 6 0 bacteria and doubles every three hours, then the number of bacteria after t hours is n = f ( t ) = 1 6 0 2 t / 3 . ( a ) Find the inverse of this function.

If a bacterial population starts with 1 5 0 bacteria and doubles every three hours, then the number of bacteria after t hours is n = f ( t ) = 1 5 0 2 t 3 . find the inverse of this function

234 CHAPTER 3 Differential 19. The q throug 12. (a) Sodium chlorate crystals are easy to grow in the shape of given cubes by allowing a solution of water and sodium chlorate (a) t= to evaporate...

Explain what is meant by the time value of money, and discuss its relevance to the capital budgeting process.

Choose a grocery product category and analyze the various brands in this category in terms of their packaging features designed to attract consumers attention. Identify the packaging features that...

Darwin Head, a 35-year-old sawmill worker, won $1 million and a Chevrolet Malibu Hybrid by scoring 15 goals within 24 seconds at the Vancouver Canucks National Hockey League game (B. Ziemer, Darwin...

15.41 Playing the numbers: the house has a business. Unlike Joe (see Exercise 15.40) the operators of the numbers racket can rely on the law of large numbers. It is said that the New York City...

The table gives the population of the world in the 20th century. (a) Estimate the rate of population growth in 1920 and in 1980 by averaging the slopes of two secant lines. (b) Use a graphing...

Refer to the law of laminar flow given in Example 7. Consider a blood vessel with radius 0.01 cm, length 3 cm, pressure difference 3000 dynes/cm2, and viscosity = 0.027. (a) Find the velocity of the...

The cost, in dollars, of producing yards of a certain fabric is C(x) = 1200 + 12x - 0.1x2 + 0.0005x3 (a) Find the marginal cost function. (b) Find C'(200) and explain its meaning. What does it...

A recent national survey found that parents read an average (mean) of 10 booksper month to their children under 5 years old. The population standard deviation is 5. The distribution of books read per...

JAVA URGENT HELP PLEASE! Cant use arrays! B) Write a program to prompt the user for a positive integer: N. The program will repeatedly divide the input in half, discarding any fractional part, until...

1. Pleaseuse the following information to answerquestions 1a-1c: A population has a standard deviation of = 20. 1a. How large a sample is necessary to have a standard error that is less than or equal...