8.1.1 Variation Functions - Practice
1. Write the direct variation function given that y varies directly with x , and y = 1.5 when x = 5.
2. The value of y varies directly with x , and y = 343 when x = 49. Find y when x = 8.
3. The volume V of a rectangular pyramid varies jointly with the area of the base B and the height h . V = 36 m 3 when B = 27 m 2 and h = 4 m. Find B when V = 32 m 3 and h = 12 m.
4. The power P required to do a fixed amount of work varies inversely as the time t . If a power of 15 J/h is required to do a fixed amount of work in 2 hours, what is the power required to do the same work in 1 hour?
5. Identify the data set which represents a direct variation. ○ x 1 3 5 y 2 4 6 ○ x 10 20 30 y 2 3 4 ○ x 20 12 6 y 6 10 15 ○ x 3 12 15 y 4 16 20
6. 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 6 liters (L), a temperature of 400 Kelvins (K), and a pressure of 2.4 atmospheres (atm). If the gas is expanded to a volume of 15 L and is heated to 650 K, what will the new pressure be?
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