# ALGEBRA

 Don't use plagiarized sources. Get Your Custom Essay on ALGEBRA Get a plagiarism free paperJust from \$13/Page ALGEBRA II
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 Instructions BLUE OR BLACK INK ONLY 1.     Make sure you read through the assessment. 2.     Read the instructions for each question carefully. 3.     Be sure to answer all required questions. 4.     CHECK your answers before handing in your paper. 5.     Calculators are not allowed.

Unit Topic:

THINKING WITH MATHEMATICAL MODELS: LINEAR

AND INVERSE VARIATION

• You are a Civil Engineer and have been assigned to do a feasibility study of a proposedsuspension bridge (figure 2) to connect Al Lulu Island to the Abu Dhabi Mainland.
• Use the following parameters and information to start your project.

The bridge will link Abu Dhabi Mainland to Al Lulu Island.

• Describe the project and state the advantages.
• Investigate the required materials you need to construct the bridge taking into consideration the environmental impact.
• In figure 1, the distance between the two shores is 900 m.
• The Abu Dhabi Municipality have chosen the design shown on figure 2
• Use the quadratic formula to find:
• Establish the correct quadratic equation that is congruent with the distance between the island and the mainland.

Given data: Under the bridge at 200m from the bridge’s edge the height is120m.

Use the following formula y=a(x-r)(x-s)  to find the quadratic equation in factored form, then turn it to standard form.

• Determine the midpoint.
• Determine the maximum height of the bridge and according to your judgement does this height make sense to you? Explain your reasoning.
• What is the discriminant of the formula of your bridge?

Make a conclusion statement.

How to write a feasibility study

1. Describe the project.
2. Outline the potential solutions resulting from the project.
3. List the criteria for evaluating these solutions.
4. State which solution is most feasible for the project.
5. Make a conclusion statement.

Figure 2 Proposed bridge

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