Inverse Variation Functions, algebra homework help

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Write the inverse variation function given that y varies inversely with x, and y = 0.25 when x = 8. 2 V= X V= 32 y = 8x y = 0.25x Question 2: 20 pts The course fee per child of a summer camp varies inversely as the number of participating children. If there are 50 children participating in the camp, the course fee is $372 per child. Identify the course fee per child, if 75 children join the camp. $250 $248 $283 $272 The pressure P exerted by a force varies inversely as the area A on which the force is applied. If 16 N/ft2 of pressure is exerted by a force on an area of 3 ft2, what is the pressure exerted by the same force on an area of 6 ft2? 8 N/42 16 N/ft2 32 N/ft2 4 N/ft2 Identify the data set which represents a direct variation. X 10 20 30 Y 2 3 4 X 1 3 Сл Y N 4 6 3 12 15 y 4 16 20 X 20 12 6 y 6 10 15 The pressure P of a gas varies directly with the temperature T and inversely with the volume V.A certain gas has a volume of 100 liters (L), a temperature of 400 Kelvins (K), and a pressure of 33.2 atmospheres (atm). If the gas is expanded to a volume of 80 L and is heated to 500 K, what will the new pressure be? 1.328 atm 51.875 atm 21.248 atm 8.3 atm
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