Use the function p(t)=poekt, where p(t)=population at time t, p0= the initial population, and k is the growth or decay rate. Scenario: A scientist is studying bacteria in a favorable growth medium. The population is growing exponentially. The scientist measures a bacteria population of 850, then 2 hours later measures a bacteria population of 925. a. Find the k-value for the scenario. Round to the nearest ten-thousandths.

Use the function p(t)=poekt, where p(t)=population at time t, p0= the initial population, and k is the growth or decay rate. Scenario: A scientist is studying bacteria in a favorable growth medium. The population is growing exponentially. The scientist measures a bacteria population of 850, then 2 hours later measures a bacteria population of 925. a. Find the k-value for the scenario. Round to the nearest ten-thousandths.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

See similar textbooks

Similar questions

Use the result from the previous exercise to graph the logistic model P(t)=201+4e0.5t along with its inverse on the same axis. What are the intercepts and asymptotes of each function?
The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.
Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?
The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is in