Math magazine I Small Group (cont.) WEEK 2 I DAY 1
MIXED SKILLS
Use the information in the article and the “Softball vs. Baseball” chart to answer these mixed-skill questions.
1 A combined 25 million Americans play baseball and softball, according to a recent report by the Sports & Fitness Industry Association. With the U.S. population at roughly 325 million, what percent of Americans play softball or baseball, rounded to the nearest percent?
4 The fastest softball players can run from home plate to first base in about 2.5 seconds. Assuming a player kept up that speed, how many seconds would it take them to run from home around all the bases—first, second, and third—and back home again? 5 The path of a softball after it’s hit by a batter can be described by the function f ( x ) = -0.011 x 2 + 1.23 x + 5.5, where x is the softball’s horizontal position in feet and f ( x ), or y , is its vertical height in feet. Could a player standing 80 feet away catch the ball?
2 The formula for the surface area for a sphere is 4 π r 2 . How much larger is the surface area of a softball than a baseball’s, rounded to the nearest hundredth? Use 3.14 for pi. ( Hint: C = 2 π r )
3 In baseball, the distance between the pitcher and home plate is about 60 feet, and the distance between bases is 90 feet. In softball, the field
SOFTBALL FIELD
is smaller, but the ratio of pitching distance to home plate and the distance
between bases is the same: 2:3. Use information from the chart at left and this ratio to label
SOFTBALL BASEBALL 12 inches 9 inches 40 feet 60 feet 70-80 mph 95-105 mph 7 9
the pitcher’s distance to home plate and the distance between bases on the diagram to the right.
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Student Handbook, page 39
44 Scholar Zone Summer: Math
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