WGU Mathematics History and Technology Task 1 | Passed
on First Attempt | Update | Complete Solution
335721
Brandy Armacida
A. Use technology to analyze the modeling function in the problem in the Assumptions section by doing the
following:
1. Using a calculator, determine the number of bacteria when d = 10.
2
12250𝑑 − 2419𝑑 + (𝑠𝑡𝑢𝑑𝑒𝑛𝑡 𝑖𝑑) + 1000
N= 2
5𝑑 − 37𝑑 + 99
2
12250(10) − 2419(10) + (011335721) + 1000
N= 2
5(10) − 37(10) + 99
N = 54749.04367
2. Use a graphing utility to do the following:
a. Provide a single image of the graph that displays both the curved nature and the maximum
value of the function.
b. Using the image in part A2a, identify an approximate decimal value for the maximum number of
bacteria.
When d = 3.76236, the maximum number of bacteria in n ≈ 376317.98049
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.
, b. Using the image in part A3a, identify the exact value for the maximum number of bacteria.
The exact value for the maximum number of bacteria is the second line:
1
116
(115703207 + 22 26958317345805
I have also circled the exact value in pink in the image below.
4. Explain the benefit of using an exact solution for a real-world or mathematical scenario.
Using an exact solution for a real-world or mathematical scenario is beneficial because it provides accuracy
and precision in your answer. An example of when using an exact solution in the real-world is beneficial is
in engineering. An aerospace engineer or rocket scientist is responsible for designing, testing and
determining the trajectory of a spacecraft and its landing point.
a. Explain the value of using an approximate solution for a real-world or mathematical scenario.
Using an approximate solution for a real-world or mathematical scenario is when the answer
does not have to be exact. An example of when using an approximate solution is the bacteria
problem which is given in this task. The approximate solution of the maximum number of
bacteria is close enough to understand the answer. In the case of the bacteria, rounding won’t
matter because of how quickly bacteria grows. Therefore using 0.04367 to explain bacteria is
unnecessary.
5. Explain two advantages of using graphing calculators or other math-specific technologies in the classroom.
1. One advantage of using graphing calculators or other math-specific technologies in the classroom is
that they improve the understanding of mathematical concepts. With the use of such graphing
on First Attempt | Update | Complete Solution
335721
Brandy Armacida
A. Use technology to analyze the modeling function in the problem in the Assumptions section by doing the
following:
1. Using a calculator, determine the number of bacteria when d = 10.
2
12250𝑑 − 2419𝑑 + (𝑠𝑡𝑢𝑑𝑒𝑛𝑡 𝑖𝑑) + 1000
N= 2
5𝑑 − 37𝑑 + 99
2
12250(10) − 2419(10) + (011335721) + 1000
N= 2
5(10) − 37(10) + 99
N = 54749.04367
2. Use a graphing utility to do the following:
a. Provide a single image of the graph that displays both the curved nature and the maximum
value of the function.
b. Using the image in part A2a, identify an approximate decimal value for the maximum number of
bacteria.
When d = 3.76236, the maximum number of bacteria in n ≈ 376317.98049
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.
, b. Using the image in part A3a, identify the exact value for the maximum number of bacteria.
The exact value for the maximum number of bacteria is the second line:
1
116
(115703207 + 22 26958317345805
I have also circled the exact value in pink in the image below.
4. Explain the benefit of using an exact solution for a real-world or mathematical scenario.
Using an exact solution for a real-world or mathematical scenario is beneficial because it provides accuracy
and precision in your answer. An example of when using an exact solution in the real-world is beneficial is
in engineering. An aerospace engineer or rocket scientist is responsible for designing, testing and
determining the trajectory of a spacecraft and its landing point.
a. Explain the value of using an approximate solution for a real-world or mathematical scenario.
Using an approximate solution for a real-world or mathematical scenario is when the answer
does not have to be exact. An example of when using an approximate solution is the bacteria
problem which is given in this task. The approximate solution of the maximum number of
bacteria is close enough to understand the answer. In the case of the bacteria, rounding won’t
matter because of how quickly bacteria grows. Therefore using 0.04367 to explain bacteria is
unnecessary.
5. Explain two advantages of using graphing calculators or other math-specific technologies in the classroom.
1. One advantage of using graphing calculators or other math-specific technologies in the classroom is
that they improve the understanding of mathematical concepts. With the use of such graphing
