In the set of problem, assume that the data can be modeted by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then answer the question. (See Example 1.)
Physical Science Suppose a baseball is thrown at 85 miles per hour. The ball will travel 320 feet when hit by a bat swung at 50 miles per hour and will travel 440 feet when hit by a bat swung at 80 miles per hour. Let y be the number of feet traveled by the ball when hit by a bat swung at x miles per hour. (Note: The preceding data are valid for 50 ≤ x ≤ 90, where the bat is 35 inches long, weighs 32 ounces, and strikes a waist-high pitch so that the place of the swing lies at 10° from the diagonal.‡)How much farther will a ball travel for each mile-per-hour increase in the speed of the bat?
‡Robert K. Adair, The Physics of Baseball (HarperCollins, 1990).
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