Exam 22: Power Functions

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The life expectancy of a star is a power function of its mass.The value of the power in this function is The life expectancy of a star is a power function of its mass.The value of the power in this function is   .If the mass is increased by 43%, how is the life expectancy affected? Round your answer to two decimal places if necessary. ​ .If the mass is increased by 43%, how is the life expectancy affected? Round your answer to two decimal places if necessary. ​

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The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when brakes are applied.The value of the power in this function is The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when brakes are applied.The value of the power in this function is   .If the skid mark length is multiplied by 2.19, how is the speed affected? Round your answer to two decimal places if necessary. ​ .If the skid mark length is multiplied by 2.19, how is the speed affected? Round your answer to two decimal places if necessary. ​

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Let Let   .If y is increased by 32%, how is x affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​ .If y is increased by 32%, how is x affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​

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Let Let   .If x is decreased by 35%, how is y affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​ .If x is decreased by 35%, how is y affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary. ​

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The weight of a certain type of fish is a power function of its length.It is observed that if the length is doubled, the weight increases by a factor of 2.93.What is the value of the power k for this power function? Round your answer to two decimal places if necessary. ​

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Let Let   .If x is multiplied by 1.48, how is y affected? Round your answer to two decimal places if necessary. ​ .If x is multiplied by 1.48, how is y affected? Round your answer to two decimal places if necessary. ​

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Let Let   .If   when   , what is the value of c? Round your answer to two decimal places if necessary. ​ .If Let   .If   when   , what is the value of c? Round your answer to two decimal places if necessary. ​ when Let   .If   when   , what is the value of c? Round your answer to two decimal places if necessary. ​ , what is the value of c? Round your answer to two decimal places if necessary. ​

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The weight of a certain type of fish is a power function of its length.The value of the power in this function is The weight of a certain type of fish is a power function of its length.The value of the power in this function is   .If the length is doubled, how is the weight affected? Round your answer to two decimal places if necessary. ​ .If the length is doubled, how is the weight affected? Round your answer to two decimal places if necessary. ​

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Show the graph of Show the graph of   when k is a negative number. ​ when k is a negative number. ​

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Let Let   .If x is decreased by 5%, how is y affected? Round your answer to two decimal places if necessary. ​ .If x is decreased by 5%, how is y affected? Round your answer to two decimal places if necessary. ​

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The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when brakes are applied.The value of the power in this function is The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when brakes are applied.The value of the power in this function is   .If the skid length is doubled, how is the speed affected? Round your answer to two decimal places if necessary. ​ .If the skid length is doubled, how is the speed affected? Round your answer to two decimal places if necessary. ​

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The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when the brakes are applied.The value of the power in this function is The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when the brakes are applied.The value of the power in this function is   .If the speed is multiplied by 2.59, how is the skid mark length affected? Round your answer to two decimal places if necessary. ​​ .If the speed is multiplied by 2.59, how is the skid mark length affected? Round your answer to two decimal places if necessary. ​​

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The speed for certain animals is related to the stride length by a power function.The value of the power in this function is The speed for certain animals is related to the stride length by a power function.The value of the power in this function is   .If the stride length is doubled, how is the speed affected? Round your answer to two decimal places if necessary. ​ .If the stride length is doubled, how is the speed affected? Round your answer to two decimal places if necessary. ​

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The speed for certain animals is related to the stride length by a power function.The value of the power in this function is The speed for certain animals is related to the stride length by a power function.The value of the power in this function is   .If the speed is multiplied by 1.77, how is the stride length affected? Round your answer to two decimal places if necessary. ​ .If the speed is multiplied by 1.77, how is the stride length affected? Round your answer to two decimal places if necessary. ​

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​Let ​Let   .If   when   , what is the value of c? Round your answer to two decimal places if necessary. ​ .If ​Let   .If   when   , what is the value of c? Round your answer to two decimal places if necessary. ​ when ​Let   .If   when   , what is the value of c? Round your answer to two decimal places if necessary. ​ , what is the value of c? Round your answer to two decimal places if necessary. ​

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If k is not zero, the graph of the power function If k is not zero, the graph of the power function   is concave up. is concave up.

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Let Let   .If x is increased by 1.84%, how is y affected? Round your answer to two decimal places if necessary. ​ .If x is increased by 1.84%, how is y affected? Round your answer to two decimal places if necessary. ​

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The body surface area B of an 80-kilogram man depends on his height h measured in meters.The relationship is The body surface area B of an 80-kilogram man depends on his height h measured in meters.The relationship is   . If the height is multiplied by 1.08, how is the body surface area affected? Round your answer to two decimal places if necessary. ​ . If the height is multiplied by 1.08, how is the body surface area affected? Round your answer to two decimal places if necessary. ​

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Let Let   .If y is multiplied by 2.05, how is x affected? Round your answer to two decimal places if necessary. ​ .If y is multiplied by 2.05, how is x affected? Round your answer to two decimal places if necessary. ​

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The life expectancy of a star is a power function of its mass.The value of the power in this function is The life expectancy of a star is a power function of its mass.The value of the power in this function is   .If the life expectancy is doubled, how is the mass affected? Round your answer to two decimal places if necessary. ​ .If the life expectancy is doubled, how is the mass affected? Round your answer to two decimal places if necessary. ​

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