8.1.1 Variation Functions - Worksheet (continued)
Example 4: Given: y varies inversely as x . Write and graph each inverse variation function. 8. y = 2 when x = 7 9. y = 8 when x = 4 10. y x =
1 2
when 10 = −
Example 5: 11. The time t that it takes for a salesman to drive a certain distance d varies inversely as the average speed r . It takes the salesman 4.75 h to travel between two cities at 60 mi/h. How long would the drive take at 50 mi/h?
Example 6: Determine whether each data set represents a direct variation, an inverse variation, or neither. 12. x 2 5 9 y 3 6 4 13. x 6 4 1 y 2 3 12 14. x 24 4 12 y 30 5 15 Example 7: 15. The power P that must be delivered by a car engine varies directly as the distance d that the car moves and inversely as the time t required to move that distance. To move the car 500 m in 50 s, the engine must deliver 147 kilowatts (kW) of power. How many kilowatts must the engine deliver to move the car 700 m in 30 s?
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