how do i solve 2. A colony of bacteria starts at a population of 300 cells. In 3 hours, there are 19200 cells. Assuming thebacteria are growing exponentially:(a) Find the equation of the exponential function that models the bacteria population.(b) How many bacteria will be there 6 hours after the start?

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Answered: A colony of bacteria starts at a…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 2ECP

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Similar questions

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?

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A colony of bacteria starts at a population of 300 cells. In 3 hours, there are 19200 cells. Assuming the bacteria are growing exponentially: (a) Find the equation of the exponential function that models the bacteria population. (b) How many bacteria will be there 6 hours after the start?