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- For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F room. After half an hour, the internal temperature of the turkey is 145° F. Write a formula that models this situation.For the following exercises, use a calculator to graph the equation implied by the given variation. 43. y varies directly as the square root ofx and when x=36,y=2.For the following exercises, use the given information to answer the questions. 56. The intensity of light measured in foot-candles variesinversely with the square of the distance from the lightsource. Suppose the intensity of a light bulb is 0.08 foot-candles at a distance of 3 meters. Find the intensity levelat 8 meters.
- For the following exercises, use a calculator to graph the equation implied by the given variation. 42. y varies directly as the cube of x and when x=2,y=4.For the following exercises, use Kepler’s Law, which states that the square of the time, T, required for a planet to orbitthe Sun varies directly with the cube of the mean distance a that the planet is from the Sun. 50. Using Earth’s distance of l astronomical unit (A.U.),determine the time for Saturn to orbit the Sun if itsmean distance is 9.54 A.U.For the following exercises, use the given information to answer the questions. 53. The rate of vibration of a string under constant tensionvaries inversely with the length of the string. If a stringis 24 inches long and vibrates 128 times per second,what is the length of a string that vibrates 64 times persecond?
- For the following exercises, use the given information to find the unknown value. 28. y varies directly as the cube root ofx. When x=125,theny=15.Findywhenx=1,000 .For the following exercises, solve the application problem. 47. The weight of an object above the surface of theearth varies inversely with the distance from thecenter of the earth. If a person weighs 150 poundswhen he is on the surface of the earth (3,960 milesfrom center), find the weight of the person if he is 26miles above the surface.For the following exercises, use this scenario: A turkey is taken out of the oven with an internal temperature of 165° Fahrenheit and is allowed to cool in a 75° F room. After half an hour, the internal temperature of the turkey is 145° F. To the nearest degree, what will the temperature be after 50 minutes?
- For the following exercises, use the given information to answer the questions. 52. The velocity v ofa falling object varies directly to the time,t, of the fall. If after 2 seconds, the velocity of the object is64 feet per second. what is the velocity after 5 seconds?For the following exercises, use a calculator to graph the equation implied by the given variation. 41. y varies directly with the square ofx and when x=2,y=3.For the following exercises, use the given information to answer the questions. 51. The distance s that an object falls varies directly withthe square of the time, t, of the fall. If an object falls16 feet in one second, how long for it to fall 144 feet?
