Lesson: Variations
2. The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 80 feet is 24 pounds per square inch. What is the pressure at 160 feet?

4. If y varies inversely with the square of x, and y=11 when x=4, find y when x=0.2.

Y=

5. Last summer the price of gasoline changed frequently. One station owner noticed that the number of gallons he sold each day seemed to vary inversely with the price per gallon. If he sold 2900 gallons when the price was $4.20, how many gallons could he expect to sell if the price fell to $3.90?

6. Every year on Earth Day, a group of volunteers pick up garbage at Hidden Falls Park. The time it takes to clean the beach varies inversely with the number of people picking up garbage. Last year, 34 volunteers took 4 hours to clean the park. If 61 volunteers come to pick up garbage this year, how many hours will it take to clean the park?

7. The amount of time it takes to fill a whirlpool tub is inversely proportional to the square radius of the pipe used to fill it. If a pipe of radius 1.5 inches can fill the tub in 5 minutes, how long will it take the tub to fill if a pipe of radius 3 inches is used?

8. The weight that can be safely supported by a 2- by 6-inch support beam varies inversely with its length. A builder finds that a support beam that is 12 feet long will support 700 pounds. What is the weight that can be safely supported by a beam that is 14 feet long.

 

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Don Williams uses his small motorboat to go 4 miles upstream to his
favorite fishing spot. Against the​ current, the trip takes 2/3 hour. With the current the trip takes 1/3 hour

In still water the boat speed is?

The speed of the current is ?

mph.
The speed of the current is nothing mph.

 

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