Direct and Inverse Variation Answers

Norman makes $15 commission for selling $200 in merchandise. He makes $37.50 commission for selling $500 in merchandise. Assuming that the variables are directly related and Norman wants to make $150 in commission, what is the total value of merchandise he needs to sell?

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The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are used in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present.

In a function, y varies directly with x, and the constant of variation is 2. Which table could represent this function?

One week, Kerry travels 125 miles and uses 5 gallons of gasoline. The next week, she travels 175 miles and uses 7 gallons of gasoline.

In a company, it takes 4 employees 4 days to complete a task. It would take 2 employees 8 days to complete the same task.

Traveling at an average speed of 50 miles per hour, the trip from point A to point B takes 2 hours. Traveling at an average speed of 40 miles per hour, the same trip takes 2.5 hours.If time, y, varies inversely with speed, x, how long will the trip take traveling at 45 miles per hour? Round your answer to the nearest hundredth, if necessary.

A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables are directly related, how many hours would a 9-ounce candle be expected to burn?

Four pounds of apples cost $5. Eight pounds of apples cost $10. If the total cost of apples, y, varies directly with the number of pounds of apples purchased, x, what is the cost of 6 pounds of apples? Round your answer to the nearest hundredth.