Question

9 4 An environmental engineer has obtained a bacteria culture from a municipal water sample and allowed the bacteria to grow within a petri dish. The following data were obtained: Time (min) Bacteria Concentration (ppm) Time (min) Bacteria Concentration (ppm) 0 6 6 63 1 7 102 2 15 8 153 3 19 9 220 32 10 328 5 42 Enter the data into an Excel worksheet and plot the data using arithmetic scale, semi-log coordinates, and log-log coordinates. Use the resulting graphs to solve the following problem: Suppose the growth of Type A bacteria is governed by a process described by the equation CA = act and the growth of Type B bacteria is governed by a process described by the equation CB = at'. Based solely on the plots obtained, what type of bacteria is the engineer dealing with? Why? Explain using the space below.

Answer 1

Deciding the type of the Bacteria:

Data given:

Set of data of bacteria concentration at given time

Creating X-Ygraph:

In the excel worksheet, enter the given data and Create a chart of Scatter (X-Y) type for

Bacteria concentration as a function of time. Change the label in the graph.

Screenshot for creating Scatter chart:-

artOOIS Home Biser Page Layout Formulas Data Review View Design layout Formal 4 votTable Table Picture Pie Bar Area Chip Shapes SmartArt Screenshot Column Line AM Scatter Other Charts tine Column Windoss Slicer Hyperlink Header WordArt SI Footer Hlustrations Charts Sparklines Chart 2 A B E H 1 ) K N Time 0 1 Bacteria 6 1 9 2 Bacteria 3 350 4 5 300 19 32 42 63 102 153 220 6 7 250 200 Axis Title 150 Bacteria 100 328 50 0 02 4 6 8 10 12 Axis Title Sheet1 Sheet Set o Type here to search o CS Scanned with CamScanner

Screenshot of creating Line graph:-

27 A Twitter Foot Tablety N Bacteria(PPM) Line Graph Bacteria(PPM) Scatter chart 200 - the torbe PIDA) CS Scanned with CamScanner

K M N P Bacteria(PPM) Line Graph art 350 300 250 200 Bacteria(PPM) 150 --Bacteria(PPM) 100 50 0 1 2 3 4 5 6 7 8 9 10 11 CS Scanned with CamScanner

screenshot of creating bar graph:-

AN 3.A Wrap Text copy Format Painter Easte BIU Merge Be Center $ % & Conditional Font Alignment K24 A e D F G H 6 3 9 Bacteria(PPM) Bar Graph 15 19 350 o ANO 32 300 5 250 6 63 7 102 200 8 153 220 21 150 Bacteria(PPM) 9 328 100 50 0 15 16 17 1 2 5 6 3 4 5 6 7 8 9 10 11 Bacteria(PPM) Scatter chart CS Scanned with CamScanner

We have drawn these three kinds of graphs showing bacteria concentration versus time.

From these three graph we conclude the bacteria type.

The equation given for the bacteria growth for type A is given by,

…… (1)

bt C = ae

The equation (1) tells that type A bacteria is growing exponentially as time is increasing.

The equation for bacteria growth for type B is given by,

…… (2)

CB = at

The equation (2) tells that the type B bacteria is growing linearly as time increases.

The graphs which we drawn earlier specifies that the bacteria is growing exponentially. As time increases the bacteria is growing exponentially.

accordin to the two equations type A bacteria is growing exponentially whereas type B bacteria is growing linearly. So the engineer is dealing with type A bacteria because our graph is growing exponentially based on the time.

so the engineer is dealing with the type A bacteria.