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A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time t=4. When will it contain 100,000 bacteria?

A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time t=4. When will it contain 100,000 bacteria?

Calculus: Early Transcendentals
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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Assignment # 1 - Laws of Growth and Decay, Application of First Order Differential Equations
1. A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time t=4. When will it contain 100,000 bacteria? 2. The number of bacteria in a culture is growing at a rate of 3000e2/5 per unit of time t. At t = 0, the number of bacteria present was 7,500. Find the number present at t = 5. f(t) = 500e0.05t , where t is 3. Consider a bacterial population that grows according to the function measured in minutes. After 4 hours, how many germs are present in the population? When will the population of bacteria reach 100 million? 4. On the Bantayan island today, there are 1000 birds. They reproduce at a consistent annual growth rate of ten percent. How many birds will be on the island in seven years, according to three key figures? 5. One million cells are now in a cell culture at a biology lab in UC –Main. The cells have a 1.5 percent continuous birth rate and a 0.5 percent per hour death rate. For an experiment, cells are taken from the culture at a pace of 5000 per hour. In 10 hours, how many cells will be in the culture? 6. Assume that an insect population grows according to the law of exponential growth. After the third day of the experiment, there were 130 insects, and after the seventh day, there were 380 insects. How many insects were there in the original population? 7. You spend Php. 2,100.00 on a new Android phone. Every year, the phone's value drops by half. When is the phone going to be worth Php. 600.00? 8. You drink a Starbucks Coffee in SM Seaside with a 120 mg. of caffeine. Each hour, the caffeine in your body system reduces by about 12 percent. How long will you have a 10 mg. of caffeine?
Transcribed Image Text:1. A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time t=4. When will it contain 100,000 bacteria? 2. The number of bacteria in a culture is growing at a rate of 3000e2/5 per unit of time t. At t = 0, the number of bacteria present was 7,500. Find the number present at t = 5. f(t) = 500e0.05t , where t is 3. Consider a bacterial population that grows according to the function measured in minutes. After 4 hours, how many germs are present in the population? When will the population of bacteria reach 100 million? 4. On the Bantayan island today, there are 1000 birds. They reproduce at a consistent annual growth rate of ten percent. How many birds will be on the island in seven years, according to three key figures? 5. One million cells are now in a cell culture at a biology lab in UC –Main. The cells have a 1.5 percent continuous birth rate and a 0.5 percent per hour death rate. For an experiment, cells are taken from the culture at a pace of 5000 per hour. In 10 hours, how many cells will be in the culture? 6. Assume that an insect population grows according to the law of exponential growth. After the third day of the experiment, there were 130 insects, and after the seventh day, there were 380 insects. How many insects were there in the original population? 7. You spend Php. 2,100.00 on a new Android phone. Every year, the phone's value drops by half. When is the phone going to be worth Php. 600.00? 8. You drink a Starbucks Coffee in SM Seaside with a 120 mg. of caffeine. Each hour, the caffeine in your body system reduces by about 12 percent. How long will you have a 10 mg. of caffeine?
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