BASEBALL A professional baseball player hits a baseball. Its height above the field can be modeled by the equation y = -0.002x^s + 0.78x + 4, where y is the height of the
baseball, in feet, and x is the horizontal distance the baseball is from home plate in feet.

A: what is the height of the baseball when it is 20 feet from home plate?

B: At what distance(s) is the baseball from home plate when its height is 15 feet? Round to the nearest tenth?

We can use quadratic equation to find how far the baseball will travel before it hits the ground. If the baseball is hit towards left center field where the fence is 370 feet from home plate, we can determine whether the baseball will travel far enough to be a home run.

C: Write an equation that could be used to determine if the baseball will travel far enough to be a home run

D: Solve the equation and round to the nearest tenth, if necessary. Based on the solution does the baseball travel far enough to be a home run? explain

Another player hits a foul ball. Its height y can be modeled by y = -0.02x^2 + x + 4 where x is the distance in feet from home plate. A fan runs up the standa to catch the foul ball. His height above the field y in feet, is approximately modeled by y = 0.7x - 21, where x is his distance from home plate.

E: At what distance and height will the fan catch the baseball?

F: Is it more reasonable to use a linear or quadratic model for the trajectory of a baseball after it is hit by the batter? explain.