Individual Project of unit 3 of course MTH 133
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MTH133
Unit 3 - Individual Project
Name:
1) Solve the following equations algebraically. You must show all your work.
Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3.
a)
Answer:
Show your work here:
b)
Answer:
Show your work here:
c)
Answer:
Show your work here:
2) Solve algebraically and check your potential solutions:
Answer:
Show your work here:
3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 700 in3. Round the answer to three decimal places.
Answer:
Show your work here:
4) a) Show the steps that you would take to solve the following algebraically:
Show your work here:
b) What potential solution did you obtain? Explain why this is not a solution.
Answer:
5) For the following function, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate.
a) Using this model, approximately what is the cost if 40% of the citizens participate? Include units with your answer.
Answer:
Show your work here:
b) Using this model, estimate the percentage of participation that can be excepted if $3 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
Answer:
Show your work here:
6) a) If , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.
x y
0
1
2
3
4
Show your work here:
b) Explain why no negative values are chosen as values to substitute in for x.
Answer:
c) Graph in MS Excel or another web-based graphing utility and paste your graph here.
Answer:
7) Suppose that N= models the number of cases of an infection, in millions, of a disease x years from now.
a) Approximately how many cases of the infection will there be 16 years from now?
Answer:
Show your work here:
b) In approximately how many years will there be 6 million cases?
Answer:
Show your work here:
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