Direction: On a clean piece of paper, solve and show your solutions of the following problems. Give the constant of variation (2 pts), equation of variation (1 pt) and box the final answer (2
pts). Always express fractions in lowest term. Attach your outputs to this page.
1. y varies directly as x: when x + 2 y 14, find y when x = 10.
2. The weight of an object on the moon varies directly as its weight on Earth. An astronaut who weighs
80kg on Earth weighs 12.8 kg on the moon. How much would a 100 kg person weigh on the moon?
3. The time required to do a certain job varies inversely as the number of people working on the job.
It takes 2 hours for 6 people to scrub the corridory of a building. How long would it take 4 people to
do the same job?
4. Suppose the number of days it takes to watch the entirely of a show is jointly proportional to the
number of episodes there are and the length of the episodes. It took you 40 days to watch all 73
episodes of "Game of Thrones" which were each an hour long. "The Office" has 201 episodes, each
30 minutes long. How long will it take to watch the series?
5. Y varies directly as x and inversely as z, and y = 6 when x = 8 and z = 4. Find y when x = 12 and
z = 9.

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