Question

Compare and contrast the following functions. Observations an include: increasing, decreasing, growthrate, starting value, linear, exponential, etc.Function 1: An antibiotic kills 1000 bacteria per hour. At the beginning, there were 2,00,000 bacterial cellsFunction 2: Bacterial cells double each hour. At the beginning, there were 500 bacteria. What are the similarities and differences

Answer 1

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.

`y\text{ = 20,000 - 1000 t, where t represent time}`

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.

`y\text{ = 500m \lparen2\rparen}^t,\text{ where t represents time}`

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