NAME ______DATE______PERIOD ______
Mrs. Esraelian Homework 12A- 12C for Week 12 (Nov 9nd – Nov 13 ,2015)
12A: Monday Problems 1-1012B: Tuesday Problems 11-2012c: Thursday Problems 21-30
Determine whether the set of numbers in each table is proportional. If the relationship is proportional, identify the constant of proportionality. Explain your reasoning.
1. 2.
Number of Socks / 1 / 2 / 3 / 4Cost / $2 / $4 / $6 / $6
Number of Guests / 2 / 4 / 6 / 8
Cookies / 4 / 8 / 12 / 16
3. 4.
Days / 1 / 3 / 5 / 6Pages Read / 100 / 300 / 550 / 600
Cups of Flour / 2 / 4 / 8 / 10
Loaves of Bread / 1 / 2 / 4 / 5
Complete each table. Determine whether the pattern forms a proportion. If the relationship is proportional, identify the constant of proportionality.
5. Aliya earns $7 per hour baby-sitting her neighbors.
Hours / 1 / 2 / 3 / 4 / 5Earnings / $7
6. Antonio’s Pizzaria charges $10 for a large pizza, plus $1.50 for each additional topping.
Number of Toppings / 1 / 2 / 3 / 4 / 5Cost
Determine whether the set of numbers in each table is proportional. If the relationship isproportional, identify the constant of proportionality. Explain your reasoning.
7. / Hours Worked / 1 / 2 / 2.5 / 3Earnings ($) / 10 / 20 / 25 / 30
8. / Miles Driven / 1 / 2 / 6 / 9
Toll Fare / $1.07 / $1.14 / $1.42 / $1.63
9. Sharif started a new job working 15 hours a week. Find the constant of proportionality. Thenwrite an equation relating hours worked to weeks. After how many weeks will Sharif haveworked a total of 75 hours?
10. During its first 50 days of growth, a sunflower grows about 4 centimeters per day. Find theconstant of proportionality. Then write an equation relating height to days. After how manydays will a sunflower be
60 centimeters tall?
Complete each table. Determine whether the pattern forms a proportion. If the relationship isproportional, identify the constant of proportionality.
11. It costs Victoria $0.10 to send a text message.
Number of Messages / 4 / 8 / 9 / 11 / 14Cost
12. Water flows out of a kitchen faucet at about 1.5 gallons per minute.
Minutes / 0.5 / 1 / 1.25 / 1.5 / 2Gallons of Water
13. The amount of time it takes to cook a turkey increases with the weight of the turkey.It is recommended that you cook a 10-lb turkey for 3 hours. An extra 12 minutes ofcooking time is necessary for each additional pound of turkey. Is the cooking timeproportional to the weight of the turkey? Explain your reasoning.
14. On a cross-country road trip, a family drives 240 miles each day. Find the constant of proportionality.
Then write an equation relating distance to time. How far has the family traveled after 4 days?
15. Fun Center rents popcorn machines for $20 per hour. In addition to the hourly charge, there is a rental fee of $32. Is the number of hours you rent the popcorn machine proportional to the total cost?
The cost to hours ratio for 1, 2, 3,ratios are not all equal, the
16. Mrs. Govin is making cakes for the school bake sale. She needs 2 cups of sugar for every cake she makes. Is the number of cakes Mrs. Govin makes proportional to the number of cups of sugar?
to 2, the numbeof sugar.
17. At a local music store, CDs cost $11.99 including tax. Is the number of CDs purchased proportional to the cost of the CDs?
The cost to CD ratio for 1,or 11.99, or 11.99, and or 11.99.
18. Jean has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the amount of money in her account proportional to the number of weeks?
The savings to weeks ratio for 1
19. MUSIC Mr. Jansen listened to 8 songs in 28 minutes. He later listened to 5 songs in 21 minutes. Determine whether the ratios are proportional
20. TRAVEL Kimberly traveled to her friend’s house and went 300 miles in 5 hours. On her way home she took a different route and traveled 420 miles in 7 hours. Are these ratios proportional?= 310,
Write the ratios in the table to show the relationship between each set of values. Proportional or not
21.
22.
23.
Write proportional or nonproportional.
24.
25.
26.
27.
28. ANIMALSThe table shows how fast the world’s fastest fish, a sailfish, swims at a rate of 69 miles per hour. Is the distance a sailfish swims proportional to the number of hours it swims? Explain.
29.Is the number of fossils the paleontologist found in August proportional to the number of days she spent looking for fossils that month?
30. Is the total number of fossils found during July and August proportionalto the number of days the paleontologist spent looking for fossils in August?