# Given:NddN d + (your student ID) + 1,0005dd

The number of bacteria in a culture at time , where is measured in days, is modeled with the following function:

= 12,250*d *2 - 2419

2 - 37 + 99

A. Use technology to analyze the modeling function by doing the following:

1. Using a calculator, determine the number of bacteria when *d* = 10.

2. Use a graphing utility to do the following:

*Note: The TI family of graphing calculators or the "Desmos" online graphing utility may be used. (See web link below.)*

a. Provide a single image of the graph that displays both the curved nature and the maximum value of the function.

*Note: In order to show the entire graph on the screen, you will need to adjust the y-axis to account for the large y values generated by the equation. If using Desmos, do not use the zoom feature.*

*Note: This assessment requires you to submit pictures, graphics, and/or diagrams. Each file must be an attachment no larger than 30 MB in size. Diagrams must be original.*

b. Using the image in part A2a, identify an approximate decimal value for the maximum number of bacteria.

3. Use a computer algebra system to do the following:

a. Provide an image of the output from the computer algebra system that shows the exact value (not a rounded or truncated decimal) for the maximum number of bacteria.

*Note: The "Wolfram Alpha" online algebra utility may be used. (See web link below.)*

b. Using the image in part A3a, identify the exact value for the maximum number of bacteria.

4. Explain **two** advantages of using graphing calculators or other math-specific technologies in the classroom.

B. Use your choice of dynamic geometry software to draw a geometric shape and then do the following:

*Note: "Desmos Geometry" or "GeoGebra" may be used (see Web Links).*

1. Explain how you used the software to analyze **tw**o geometric properties of the shape (e.g., side lengths, angle measures, sums of angles, facts about diagonals, bisectors).

2. Provide a visual image (e.g., screenshot, graphic) of the shape produced by the dynamic geometry software that includes the **two** geometric properties from part B1.

C. Use the dynamic (movement) features of the geometry software to explore a theorem relevant to the shape used in part B, and then do the following:

1. Explain how you used the dynamic (movement) features of the software to explore your chosen theorem.

2. Provide a progression of images (e.g., screenshots) that demonstrates how you used the dynamic (movement) features of the software to show the chosen theorem is true.

D. Compare the dynamic geometry software you used in part B to a similar software, including the strengths and limitations (e.g., learning curve, cost, access, features) of both.

Here is what I have so far:

A. Use technology to analyze the modeling function by doing the following:

1. Using a calculator, determine the number of bacteria when *d* = 10.

$N=(12,250d_{2}−2419d+000093281+1,000)/(5d_{2}−37d+99)$

Number of bacteria = 5655.419214

I do not know how to graph it to get #2

Please help

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