SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
Compare and contrast the following functions.
Observations include: increasing, decreasing, growth rate, starting value, linear, exponential, etc.
PART ONE:
Function 1: An antibiotic kills 1000 bacteria per hour.
At the beginning, there were 20,000 bacterial cells.
[tex]y\text{ = 20,000 - 1000 t, where t represent time}[/tex]
The function is linear. The bacteria is decreasing.
The initial value is 20,000
PART TWO:
Function 2:
Bacterial cells double each hour. At the beginning, there were 500 bacteria.
[tex]y\text{ = 500m \lparen2\rparen}^t,\text{ where t represents time}[/tex]
The function is exponential. The bacteria is increasing.
The starting value is 500.
PART THREE:
Similarities:
There are no similarities.
PART FOUR:
Differences:
In Function
