2-6 Ratios, Rates, and Conversions

Name
Class
Date
2-6 Ratios, Rates, and Conversions
Convert the given amount to the given unit.
1. 15 days; hours
2. 60 ft; yd
3. 100 meters; cm
Complete each statement.
4. 25 mi/hr = ___ m/min
5. 15 dollars/hr = ___ cents/min
6. 10 m/s = ___ ft/s
7. 14 gal/s = ___ qt/min
8. 3.5 days = ___ min
9. 100 yd = ___ m
10. Which weighs more, 500 pounds or 200 kilograms?
11. Which is longer, 4000 ft or 1 kilometer?
12. Which is the better buy, 7 pounds for $8.47 or 9 pounds for $11.07? Explain.
13. A runner is running 10 miles per hour.
a. What conversion factors should be used to convert 10 mi/hr to ft/s?
b. How many feet per second is the runner running?
Find each unit rate.
14. 4 pounds of green peppers cost $7.56.
15. Rahul travelled 348 miles in 6 hours.
2-7 Solving Proportions
Solve each proportion using the Cross Products Property.
1
16. 4
 10x
3
17. n

2
3
18. Eric is planning to bake approximately 305 cookies. If 3 pounds of cookie dough
make 96 cookies, how many pounds of cookie dough should he make?
19. On a map, the distance between Sheila’s house and Shardae’s house is 6.75 inches.
According to the scale, 1.5 inches represents 5 miles. How far apart are the houses?
Solve each proportion.
20.
x 1
2

x2
3
2 n 1
21. n  2

5
4
3
22. 2b 1
 b2 2
2-8 Proportions and Similar Figures
23. The figures in each pair are similar. Identify the corresponding sides and angles.
The figures in each pair are similar. Find the missing length.
24.
25.
The scale of a map is 0.5 in. : 20 mi. Find the actual distance corresponding to each
map distance.
26. 2 in.
27. 3.5 in.
28. On a map, the length of a river is 4.75 in. The actual length of the river is
247 miles. What is the scale of the map?
Form G
29. Sammy is constructing a model bridge out of sticks. The actual bridge is
1320 ft long. He wants the scale of his bridge to be 1 : 400. How long
should the model be?