1 – Alicia’s Chili
1. Alicia’s favorite chili recipe calls for 3 pounds of ground beef. The recipe serves 8 people.
a. How many people will a double (two times as big) recipe serve?
b. How many people will a triple (three times as big) recipe serve?
c. How many people will a quadruple (four times as big) recipe serve?
2. How can you determine the amount of ground beef needed for a double recipe?
3. How can you determine the amount of ground beef needed for a quadruple recipe?
4. How many pounds of ground beef are in each serving when the recipe requires 3 pounds of ground beef to serve 8 people? Show your work using words, numbers and/or diagrams.
5. Alicia bought a package of ground beef that weighs 11.5 pounds to make a large batch of chili for the annual Homecoming Chili Dinner at the local high school.
How many people could Alicia expect to serve if 3 pounds serves 8 people? Show your work using words, numbers and/or diagrams.
Student: Ch. 2 “Homecoming Chili” Segmented Revision 2008 Page 1 of 7 2 - Calculating Surface Area
1. The formula for the surface area of a right cylinder is SA = 2 p r ² + 2p r h
What is the surface area of this cylinder? Show your work using words, numbers and/or diagrams.
2. Mr. Borden built a silo (storage building) in the shape of a cylinder. The radius is 8 meters and the height is 18 meters.
What is the surface area of the silo? Show your work using words, numbers and/or diagrams.
3. The formula for determining the surface area of a sphere is SA = 4p r². Mrs. Fernandez wanted to wrap a ball with a radius of 5 cm.
What is the surface area of the ball? Show your work using words, numbers and/or diagrams.
Student: Ch. 2 “Homecoming Chili” Segmented Revision 2008 Page 2 of 7 3 - Reasoning With Formulas
1. The height of a thrown ball is modeled by the equation h = -6t² + 17t + 6, where h represents the height of the ball in feet and t represents the time (in seconds) after the ball was thrown.
How high is the ball after 3 seconds? Show your work using words, numbers and/or diagrams.
2. Marshall realized that he could determine the total cost, c, of buying tickets to the movies for him and his six friends was c = $8.50n where n is the number of tickets.
What was the cost for the 7 of them to attend the movie? Show your work using words, numbers and/or diagrams.
3. Tony earns $75.00 per hour plus a fee of $35.00 for coming to someone’s house to work on a computer. The equation that can be used to determine how much money Tony can earn given any known number of hours he works on a computer is E= 75h + 35, where E represents his earnings and h represents the number of hours worked. 1 How much money would Tony earn by working for 7 hours on a computer at 4 someone’s home? Show your work using words, numbers and/or diagrams.
Student: Ch. 2 “Homecoming Chili” Segmented Revision 2008 Page 3 of 7 4 - Beasley’s Chili Classic
Each fall, Beasley Root Beer sponsors the annual Chili Chowdown Classic for Burpsburg’s chili cooks and chili consumers. Several booths are set around the parking lot. The cooks stir up huge pots of steamy, spicy chili. The customers line up with bowls for chili and mugs for Beasley’s tasty, thirst-quenching root beer. A glorious, gastronomical gathering!
Toots Beasley brews a big, bubbly batch of root beer for the event. Toots charges $1.35 for a quart of root beer. He has learned from experience that a customer drinks a quart of root beer for each two tablespoons of chili powder consumed. Further, Toots knows that the number of bowls (B) of chili sold by a cook is related to the number of tablespoons (T) of chili powder used per bowl by the equation: B = -T² + 7T + 22. Cooks may use additional spices in their chili, of course, but chili powder is the vital variable as far as Toots is concerned.
Alicia uses 3 tablespoons of chili powder per bowl in her Alicia Atomic Chili. Connie Carney throws in 5 tablespoons per bowl of her Chili Connie Carney. Prudence Pennywhistle uses no chili powder at all in the Prudent Potfull. David Chung tosses 4 tablespoons per bowl in his David’s Dragon-Breath Chili. Voratia Vesuvius stirs 7 tablespoons per bowl into her Volcano chili.
1. How many quarts of root beer will Toots sell? Show your work using words, numbers and/or diagrams.
Student: Ch. 2 “Homecoming Chili” Segmented Revision 2008 Page 4 of 7 2. How much money will Toots take in by selling root beer at the Chili Classic? Show your work using words, numbers and/or diagrams.
3. It costs Toot $0.40 to make each quart of root beer.
How much profit (total sales minus cost) will Toots make at the Chili Classic? Show your work using words, numbers and/or diagrams.
Student: Ch. 2 “Homecoming Chili” Segmented Revision 2008 Page 5 of 7 5 - Multiple Choice Practice
1. Eddie’s Towing Company charges $40 to secure a car for towing and $1.70 for each mile the car is towed.
Which equation represents the relationship between the number of miles towed, m, and the total charges, c?
A. c = $40 + $1.70 B. c = $40 + $1.70m C. c = $40m + $1.70m D. c = $40m + $1.70
Show your work using words, numbers and/or diagrams.
2. Kim needs a certain shade of pink paint. This shade is made by mixing white and red paint in a ratio (a comparison of two numbers) of 1 to 3.
Which is the number of fluid ounces of red paint that would be needed to make 12 fluid ounces of this pink paint?
A. 4 fluid ounces B. 6 fluid ounces C. 8 fluid ounces D. 9 fluid ounces
Show your work using words, numbers and/or diagrams.
Student: Ch. 2 “Homecoming Chili” Segmented Revision 2008 Page 6 of 7 3. Mario uses 5 tomatoes to make half a liter of tomato sauce.
Which is the amount of sauce he can make from 15 tomatoes?
A. One and a half liters B. Two liters C. Two and a half liters D. Three liters
Show your work using words, numbers and/or diagrams.
4. The dance committee had $240.00 to spend on supplies for the dance. 5 They spent 8 of the money.
5 Which is the amount of money they had remaining after spending 8 of the original amount?
A. $85.00 B. $90.00 C. $120.00 D. $150.00
Show your work using words, numbers and/or diagrams.
Student: Ch. 2 “Homecoming Chili” Segmented Revision 2008 Page 7 of 7