A microbiologist wants to model the growth of a colony of bacteria. Her colony initially starts...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A microbiologist wants to model the growth of a colony of bacteria. Her colony initially starts with 1000 bacteria, and doubles in size every 3 hours. 1. Come up with an equation of the form B(t) = Boekt for the number of bacteria in the microbiologist's colony t hours after she begins her experiment. 2. How many bacteria will be in her colony after 24 hours? After 48 hours? 3. Suppose the microbiologist wants to predict how many bacteria will be in her colony after a longer period of time. Compute the number of bacteria in her colony after 1 week. If each bacteria has an area of 3.1 x 10-18 m², what is the total area of the colony? A standard size petri dish has a total area of 8.8 x 10-4 m². Does your answer make sense? 4. One way to deal with the issue of limited space and resources is to use a different model. The logistic model is one such model and is widely used in Biology, Chemistry, and Economics to deal with the constraint of scarcity. The logistic model equation is L(t) = 1+ A-k, where C is called the carrying capacity of the model, L(0) = is the initial value, and k is the growth rate. First, we will estimate C. Using the area data provided in the previous part, estimate the total number of bacteria that could fit onto a standard size petri dish. This number will be your carrying capacity. A microbiologist wants to model the growth of a colony of bacteria. Her colony initially starts with 1000 bacteria, and doubles in size every 3 hours. 1. Come up with an equation of the form B(t) = Boekt for the number of bacteria in the microbiologist's colony t hours after she begins her experiment. 2. How many bacteria will be in her colony after 24 hours? After 48 hours? 3. Suppose the microbiologist wants to predict how many bacteria will be in her colony after a longer period of time. Compute the number of bacteria in her colony after 1 week. If each bacteria has an area of 3.1 x 10-18 m², what is the total area of the colony? A standard size petri dish has a total area of 8.8 x 10-4 m². Does your answer make sense? 4. One way to deal with the issue of limited space and resources is to use a different model. The logistic model is one such model and is widely used in Biology, Chemistry, and Economics to deal with the constraint of scarcity. The logistic model equation is L(t) = 1+ A-k, where C is called the carrying capacity of the model, L(0) = is the initial value, and k is the growth rate. First, we will estimate C. Using the area data provided in the previous part, estimate the total number of bacteria that could fit onto a standard size petri dish. This number will be your carrying capacity.
Expert Answer:
Answer rating: 100% (QA)
Step by step solution 1 The equation for the number of bacteria in the microbiologists colony t hour... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Read the following case study: Pandora is the Internets most successful radio service. As of May 2014, it had over 250 million registered users (200 million of which access the service via a mobile...
-
Use the formula A= P(1+) to find the total amount of money accumulated for an initial investment $600 at 8% compounded semiannually after 7 years. Round to the nearest cent (in dollars and cents)....
-
Superior Carpet Cleaning provided $76,000 of services during 2014, its first year of operations. All customers paid for the services with major credit cards. Superior submitted the credit card...
-
Please answer the following five questions: (a) Tomaszs business buys and sells various products, including Product J. The business has 100 units of J in stock at 1 February valued (using the FIFO...
-
What is the source of nonlinearity in Duffing's equation?
-
Glenn refuses an invitation to become a partner of Dorothy and Cynthia in a retail grocery business. Nevertheless, Dorothy inserts an advertisement in the local newspaper representing Glenn as their...
-
Discuss the characteristics of the management environment and analyse the THREE (3) approaches management can adopt in order to react to the environment. Furthermore, describe the market/task...
-
Record the following petty cash transactions of Lexite Laminated Surfaces in general journal form (explanations are not required): Apr. 1 Established a petty cash fund with a $200 balance. 30 The...
-
The power required while turning mild steel rod is found to be 0.1 kW/cm3 /min. The maximum power available at the machine spindle is 4kW. Assuming a cutting speed of 38 m/min and feed rate 0.32...
-
What is beta in the one-factor market model? How is it measured? Why is it important?
-
Briefly explain the following terms used in the recording and compiling of accounting data: a. Transaction b. Account c. Journal entry d. Posting e. Chart of accounts f. General ledger g. T-account...
-
Blue Sky Spas is a medium- sized franchisor of luxury spa facilities. It offers the full range of spa treatments, nail specialists, fitness specialists, swimming, aquatic exercise programs, and yoga...
-
a. How does inflation distort ratio analysis comparisons, both for one company over time and when different companies are compared? b. Are only balance sheet accounts or both balance sheet accounts...
-
a. What is the primary difference between financial statement analysis and operating indicator analysis? b. Why are both types of analyses useful to health services managers and investors?
-
For each prompt below, carefully and thoroughly follow the directions. For the graphs, be certain to accurately label all axes, curves, and equilibria points. Use arrows to indicate the direction of...
-
Suppose the S&P 500 futures price is 1000, = 30%, r = 5%, = 5%, T = 1, and n = 3. a. What are the prices of European calls and puts for K = $1000? Why do you find the prices to be equal? b. What...
-
A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year. a. In the absence of preliminary data,...
-
Ozone (O3) is a major component of air pollution in many cities. Atmospheric ozone levels are influenced by many factors, including weather. In one study, the mean percent relative humidity (x) and...
-
The following MINITAB output is for a multiple regression. Some of the numbers got smudged, becoming illegible. Fill in the missing numbers. Predictor Constant X1 Coef SE Coef 0.3501 1.8515 2.7241...
-
Find the steady-state response of the system shown in Fig. 3.55 for the following data: \(k_{1}=1000 \mathrm{~N} / \mathrm{m}, k_{2}=500 \mathrm{~N} / \mathrm{m}, c=500 \mathrm{~N}-\mathrm{s} /...
-
A uniform slender bar of mass \(m\) may be supported in one of two ways as shown in Fig. 3.56. Determine the arrangement that results in a reduced steady-state response of the bar under a harmonic...
-
By denoting the amplitudes of velocity and acceleration of the mass of a viscously damped system subjected to a harmonic force, as \(\dot{X}\) and \(\ddot{X}\), respectively, find expressions for the...
Study smarter with the SolutionInn App