1. An 8.5-minute shower uses 17.85 gallons of water. At this rate, how many gallons of water does a 10-minute shower use? ___
2. To estimate a deer population, 50 deer were tagged. Later, a sample of 60 deer was captured, and 9 were tagged. Approximately how many deer are in the population?
3. In a sample of 500 units, 12 were defective. At this rate, how many defective units would be expected in a shipment of 3600 units? ___
4. A map scale shows that a 1.5-mile road measures $\frac{3}{4}$ inch. If a lake on the same map measures $3\frac{1}{4}$ inches, what is the actual length of the lake in miles? ___
5. An 8-ounce cafe mocha has 150 calories. How many calories are in a 20-ounce cafe mocha, assuming the same recipe?
6. An athlete runs 100 meters in 10 seconds. Assuming a constant speed, how many kilometers can the athlete run in one hour? ___
7. A submarine travels at a constant speed. It covered 45 miles in 3 hours. How long will it take to travel 300 miles? ___ hours.
8. A person who is 6 feet tall casts a 10-foot shadow. At the same time, a nearby tree casts a 38-foot shadow. How tall is the tree in feet? ___
9. Which pair of methods can be used to solve problems involving proportional variables?
10. The amount of pure metal produced from ore is proportional to the amount of ore processed. A sample of 800 grams of ore yields 24 grams of metal. How many grams of metal will one kilogram of ore yield? ___