(6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is believed to have a carrying capacity of 12 grams. (6.1) Find a model for the weight of the bacterial culture as a function of timet. (6.2) If, after 4 hours, the culture weighs 8 grams, find the weight after 10 hours.

(6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is believed to have a carrying capacity of 12 grams. (6.1) Find a model for the weight of the bacterial culture as a function of timet. (6.2) If, after 4 hours, the culture weighs 8 grams, find the weight after 10 hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.8: Transforming Exponential Expressions

Problem 12PFA

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In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.