Question: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to 200. Find the exponential decay model of the form

A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to 200. Find the exponential decay model of the form B = B0akt that approximates the number of bacteria B in the culture after t hours.

Step by Step Solution

★★★★★

3.42 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

B B 0 a kt through 0 500 and ... 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)

1383-M-C-P-E(1100).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of bacteria...

A bacteria culture starts with 1000 bacteria and the growth rate is proportional to the number of bacteria. After 2 hours the population is 9000. (a) Find an expression for the number of bacteria...

The half-life of radioactive actinium (2Ac) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 13 years? (Round your answer to the nearest percent.) % Need...

A Section 4.6 - MATH 19, section 6 x Course Hero X + X C G A webassign.net/web/Student/Assignment-Responses/last?dep=29741500 S GI For this assignment, you submit answers by question parts. The...

2. solve for x . 5^x = 44 (You may enter the exact value or round to 4 decimal places) 3. if e^3x = 18, then x = _____ . 4. Solve the given equation for x. 3^6x-3 = 34 (You may enter the exact value...

2. [0/6.25 Points] DETAILS SCOLALGCC1 3.2.024. 9/100 Submissions Used MY NOTES AS A population Pis initially 1000. Find an exponential model (growth or decay) for the population after & years if the...

U.S. Copyright Law (title 17 of U.S. code) governs the reproduction and redistribution of copyrighted material. Downloading this document for the purpose of redistribution is prohibited. Chapter 15...

The bacteria Streptococcus pneumoniae (S. pneumoniae) is the cause of many human diseases, the most common being pneumonia. A culture of these bacteria initially has 12 bacteria and increases at a...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

The Edwards Lake Community Hospital balance sheet as of December 31, 2019, follows. EDWARDS LAKE COMMUNITY HOSPITAL Balance Sheet As of December 31, 2019 Assets Current assets: Cash and Cash...

Given a scenario and a dataset (see attached excel file), you are required to run regression of the dataset, and present your results in a report. In your report, you should include an introduction...

The lease on a storefront would be classified as a ( n ) Multiple Choice profit center. cost of goods sold. promotional allowance. asset productivity center. operating expense.

2. The U.S. argument is that European producers dump steel on the U.S. market. With an import quota, U.S. steel producers will face less competition and U.S. jobs will be saved. Workers in the steel...

When you use the Fundamental Counting Principle, what are you counting?

Describe the law of large numbers in your own words. Give an example.

List the three formulas that can be used to describe complementary events.

EBIT Sensitivity Stewart Industries sells its finished product for $8.71 per unit. Its fixed operating costs are $19,700, and the variable operating cost per unit is 54 29. a. Calculate the firm's...

The table below shows historical annual returns for stocks of companies X and Y over recent years. Calculate the arithmetic average returns. In addition, calculate their historical variances, as well...

Monsters Incorporated (MI) is ready to launch a new product. Depending upon the success of this product, MI will have a value of either $100 million, $150 million, or $191 million, with each outcome...