Solve each problem. Speed of a Batted Baseball Suppose a baseb...

Solve each problem.

Speed of a Batted Baseball Suppose a baseball is thrown at 85 mph. The ball will travel 320 feet when hit by a bat swung at 50 mph and 440 feet when hit by a bat swung at 80 mph. Let y be the number of feet traveled by the ball when hit by a bat swung at x mph. Find the equation of the line given by y = mx + b that models the data. (Note: This function is valid for 50 ≤ x ≤ 90 where the bat is 35 inches long, weighs 32 ounces, and is swung slightly upward to drive the ball at an angle of 35°.) How much farther will a ball travel for each 1-mph increase in the speed of the bat? (Source: Adair, Robert K., The Physics of Baseball, HarperCollins Publishers.)