Inverse Variation Test

Question 1 of 5: Solve each Inverse Variation Problem

If y varies inversely with x and y = 1/3 when x = 15, what is the value of y when x = 5?

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$$10$$

$$15$$

$$1$$

$$3$$

$$20$$

Question 2 of 5: Solve each Inverse Variation Problem

If y varies inversely with x and y = 1/3 when x = 33, what is the value of y when x = 2?

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$$\frac{11}{2}$$

$$\frac{5}{2}$$

$$7$$

$$21$$

$$\frac{11}{21}$$

Question 3 of 5: Solve each Inverse Variation Problem

If y varies inversely with x² and y = 4 when x = 1/2, what is the value of y when x = 3/2?

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$$\frac{4}{9}$$

$$\frac{2}{9}$$

$$\frac{9}{4}$$

$$\frac{9}{2}$$

$$\frac{5}{9}$$

Question 4 of 5: Solve each Inverse Variation Problem

If y varies inversely with x³ and y = 5/2 when x = 2, what is the value of y when x = 4?

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$$\frac{5}{16}$$

$$\frac{16}{5}$$

$$\frac{12}{13}$$

$$\frac{13}{5}$$

$$\frac{5}{13}$$

Question 5 of 5: Solve each Inverse Variation Problem

The amount of light measured in foot-candles produced by a light source varies inversely with the square of the distance from the source. If the amount of light produced 2 feet from a light source is 25 foot-candles, find the light produced 10 feet from the same source.

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12 foot-candles

1 foot-candle

15 foot-candles

18 foot-candles

3 foot-candles

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