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# SG #20 Suspension Bridge

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### SG #20 Suspension Bridge - Page Text Content

FC: Quadratic Word Problems Suspension Bridge By: Samantha Gomes

2: The three ordered pairs i found in the given information are (400,165),(2000,165),and (1200,5) | Demonstrate that you understand the above information by writing three ordered pairs for points on the parabolic cables.

3: Find the equation of the parabolic cables. | The equation when rounded comes out to be 2.49x^2+-.599x+364.9. I found out this equation by typing in the ordered pairs into the stat edit key in my calculator. And then I chose the Quadreg equation button.

4: Demonstrate that your equation gives correct values of y by substituting the three values of x from the given ordered pairs in the first part. | With the full equation that was not rounded the ordered pairs come out correct. When you insert 400, y comes out to be165. When you insert 2000, y comes out to be 165. And when you insert 1200, y comes out to be 5.

5: To complete the bridge you would need to purchase 320 suspender cables.i found this by subtracting 2000 and 400. Then I divided that by 20. That comes out to 80 with that I multiplied by four because there are four parabolic cables. The average length of the cables is 54.7225 meters. I found this by subtracting 2000 and 400, dividing by 20. this is where each cable would be placed. Then when I found where each of the cables would be placed I added them up and divided by 40.

6: The total length of the suspender cable that would be used for the center span is 17511.2. I got this total by multiplying the average length of the suspenders and the total amount of suspenders needed.

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• By: Samantha G.
• Joined: almost 7 years ago
• Published Mixbooks: 1
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