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7.3 Quadratic Patterns

7.3 Quadratic Patterns
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  • Math Help

    Looking at the graph in Example 4, you might think that the pattern is exponential. Consider the ratios of consecutive terms.

    The ratios of consecutive terms are not equal. So, the pattern is not exponential.

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  • Checkpoint Solution
    1. The table in Example 4 says that the speed needed to get 100,000 pounds of lift is 150 mph.
    2. The quadratic pattern in Example 4 shows that it takes higher speeds to lift heavier planes. It also takes a longer time to reach a higher speed, so bigger planes need longer runways so they'll have enough time to accelerate to the necessary speed.
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     `____ `    -| ||-  | '--' ||  | ||__   | || | || 
     /___//     _| ||_  | .--. ||  | ||__   | \\_/ || 
     `__ `     /_____// |_|| |_||  |_____||  \____//  
     /_//      `-----`  `-`  `-`   `-----`    `---`   
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