Math and Sports
It is 60 feet 6 inches from the pitcher's mound to home plate. How long does it take for a pitch to travel from the time it leaves the pitcher's hand to home plate if the pitcher throws a fastball 90 miles per hour? Assume the pitch leaves his hand directly over the pitching rubber even though, in reality, it leaves closer to home plate.
Solution
We will use the formula d = r t and the following conversion facts:
1 mile = 5,280 feet
1 hour = 60 minutes
1 hour = 3,600 seconds (60 x 60)
1 minute = 60 seconds
d = r t
60.5 ft = 90 miles t
hour
60. 5 ft = 90 miles x 5280 ft x t
hour mile
60. 5 ft = 90 miles x 5280 ft x t (we convert
miles to feet)
hour mile
60. 5 ft = 90 x 5280 ft x t
hour
60. 5 ft = 90 x 5280 ft x 1 hour t (we convert
to seconds)
hour 3600 seconds
60. 5 ft = 90 x 5280 ft x t (we convert to seconds)
3600 seconds
60.5 ft = 132 ft x t
second
60.5 ft = 132 ft/sec x t (we divide each side of the equation
132 ft/sec 132 ft/sec by 132 ft/sec)
60.5 ft = 132 ft/sec x t
132 ft/sec 132 ft/sec
60.5 ft = t = .483 seconds
132 ft/sec
FROM THE MINORS TO THE MAJOR LEAGUES
(Order of Operations)
Tennessee is home to three AA minor league baseball teams. Solve the problems below and match each minor league team with its major league affiliate:
West Division
____ 1. Birmingham Barons a. Pittsburgh Pirates 12
5 x (2 + 7)
____ 2. Huntsville Stars b. Cincinnati Reds 34
4 x 6 / 3
____ 3. West Tenn Diamond Jaxx c. Toronto Blue Jays 27
(9 - 3) x 7
____ 4. Chattanooga Lookouts d. San Diego Padres 39
7 + 3 x 9
____ 5. Knoxville Smokies e. Oakland Athletics 8
3 x 7 + 12 / 2
East Division
____ 6. Carolina Mudcats f. Seattle Mariners 567
36 / 9 + 8
____ 7. Greenville Braves g. Detroit Tigers 15
12 / 4 + 24 / 8
____ 8. Orlando Rays h. Chicago White Sox 45
92 x (14 / 2)
____ 9. Jacksonville Suns i. Atlanta Braves 6
8 + 8 / 2 + 3
____ 10. Mobile Baybears j. Chicago Cubs 42
(18 - 5) x 3
Soccer Geometry
You may want to use a soccer ball for this exercise.
1. What shape is a soccer ball?
2. What polygons are on a soccer ball?
3. Are they regular polygons?
4. How many diagonals can be drawn in the polygons?
5. What is the sum of the angle measures of the polygons?
Season Tickets (does not include 8.25% sales tax)____
Seven The
Game Hat Individual
VIP Shoot Out Trick Ticket
Number
of games 14 7 3 1
Youth $56.00 $31.50 $14.00 $6.00
(under 18)
and students
Adults $84.00 $45.50 $20.00 $8.00
1. Find the unit cost of an adult ticket for the three season ticket options.
2. Compute the unit cost of a youth\student ticket for each of the season ticket options.
3. Determine the savings for students (18 and over) for the season ticket options as compared to individual game tickets.
4. Compute the percent of savings for each of the three options over individual game tickets for Sally Soccer who is a student at MTSU.
5. If Sally knows she will only be able to attend 9 home games, which ticket option would be better for her to purchase? Why?
6. How many games would Sally need to attend for the VIP Tickets to be cost effective over individual game tickets?
SPORTS
MYSTERY GRAPH
The x axis needs to go along the length of the paper.
Connect points to the word STOP, going vertically.
(O,13) (O,3) (7,-5) You may plot
(3,13) (4,2) (5,-6) these points
(9,12) (5,O) (3,-7) for the
(12,10) (5,-1) (O,-8) Memphis logo
(14,7) (4,-3) (-4,-8) or you may
(15,5) (3,-4) (-7,-7) draw your
(15,3) (2,-5) (-9,-6) favorite team's
(14 1/2,O) STOP (-11,-4) logo.
(14,-5) (-12,2) (6,5)
(10,-7) (O,-6) STOP (8,5)
(8,-8) (-2,-6 1/2) (10,3)
(7,-9) (-5,-6) (O,-8) (12,5)
(3,-10) (-6,-5) (-2,-9) (14,5)
(2,-9) (-7,-2) (-3,-9) (14,4)
(-1,-10) (-6,1) (-4,-9) (13,4)
(-4,-10 1/2) (-2,3) (-8,-8) (13,O)
(-7,-10) (O,3) (-9,-7) (14,O)
(-9,-9) STOP (-9,-6) (14,-1)
(-10,-8) STOP (11,-1)
(-11,-7) (6,-4) (11,O)
(-12,-4) (4,-5) (12,O)
(-12,-2) (-2,-6 1/2) (12,4)
(-11,1) (-5,-6) (10,2)
(-10,2) (-9,-4) (8,4)
(-9,5) (-9,-2) (8,O)
(-8,7) (-10,1) (9,O)
(-6,10) STOP (9,-1)
(-3,12) (6,-1)
(O,13) (6,O)
STOP (7,O)
(7,4)
(6,4)
(6,5)
Tiger Travels
1. Using the map and scale, find the straight line distance to Louisville in miles.
2. The actual distance is 369 miles. How does this compare with the straight line distance?
3. The Tiger team buses average 60 miles per hour to Louisville. How long will the trip take at this rate of speed?
4. The return trip from Louisville to Memphis took 7 1/2 hours. The Tigers stopped for 70 minutes in Nashville for supper and another 15 minutes in Jackson. What was the actual driving time?
5. What was the average rate of speed using total trip time? Using actual driving time?
6. As the rate of speed increases, what happens to the time?
7. Is the relationship between rate of speed and time an inverse or direct variation?