In the sport of baseball or softball, a traditional home run occurs when a batted ball travels over a fence in the field of play on a fly (that is, without hitting the ground). A baseball analyst wishes to find a function that relates the distance, d, of a home run and the speed, s, of the ball off the bat. Consider the data shown in the next column.

(a) Does the relation defined by the set of orders pairs (s, d) represent a function?

(b) Draw a scatter plot of the data, treating speed off bat as the independent variable.

(c) Using a graphing utility, find the line of best fit that models the relation between the speed off the bat and the distance of the home run?

(d) Interpret the slope.

(e) Express the relationship found in part (c), using function notation.

(f) What is the domain of the function?

(g) Predict the home run distance if the speed of the ball off the bat is 103 miles per hour.

Transcribed Image Text:

Speed Off Bat (mph), s 98 99 100 100 101 102 102 104 104 104 105 107 107 109 109 Home Run Distance (feet), d 369 381 380 397 400 383 408 392 406 421 411 396 429 404 418