1) Suppose you are a biochemist studying a type of mold. The growth of this type of mold can be exponentially modeled with the equation y= 4000e number of mold spores present at any time t (in minutes). a. What does the number 4000 represent in this model? b. How many minutes will it take to reach 100,000 mold spores? Round to the nearest 0.0735t where y represents the minute.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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Project #5:
SLO #2: Apply algebraic reasoning to simplify polynomial, radical, rational, exponential, and
logarithmic expressions and determine roots.
I
Solve the exponential and logarithmic problems algebraically and show all your work. Do not
use the guess-and-check method.
1) Suppose you are a biochemist studying a type of mold. The growth of this type of mold
can be exponentially modeled with the equation y= 4000e * where y represents the
number of mold spores present at any time t (in minutes).
a. What does the number 4000 represent in this model?
b. How many minutes will it take to reach 100,000 mold spores? Round to the nearest
minute.
0.0735t
Transcribed Image Text:Project #5: SLO #2: Apply algebraic reasoning to simplify polynomial, radical, rational, exponential, and logarithmic expressions and determine roots. I Solve the exponential and logarithmic problems algebraically and show all your work. Do not use the guess-and-check method. 1) Suppose you are a biochemist studying a type of mold. The growth of this type of mold can be exponentially modeled with the equation y= 4000e * where y represents the number of mold spores present at any time t (in minutes). a. What does the number 4000 represent in this model? b. How many minutes will it take to reach 100,000 mold spores? Round to the nearest minute. 0.0735t
2) A video game released in the year 2001 sold quickly at first, but then sales slowed as time
moved on. The number of videos games sold y (in thousands) are given by the logarithmic
model y = 256+9.3lnx, where x= 1 is the year 2001.
a. How many video games were sold in the year 2001? How does that relate to the
logarithmic equation?
b. In what year were 280,000 video games sold?
Transcribed Image Text:2) A video game released in the year 2001 sold quickly at first, but then sales slowed as time moved on. The number of videos games sold y (in thousands) are given by the logarithmic model y = 256+9.3lnx, where x= 1 is the year 2001. a. How many video games were sold in the year 2001? How does that relate to the logarithmic equation? b. In what year were 280,000 video games sold?
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