Direct Variation Test

Question 1 of 5: Solve each Direct Variation Problem

If y varies directly with x and y = 60 when x = 20, what is the value of y when x = 17?

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$$25$$

$$51$$

$$19$$

$$17$$

$$39$$

Question 2 of 5: Solve each Direct Variation Problem

If y varies directly with x² and y = 24 when x = 2, what is the value of y when x = 5?

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$$150$$

$$81$$

$$225$$

$$295$$

$$320$$

Question 3 of 5: Solve each Direct Variation Problem

If y varies directly with x³ and y = 189 when x = 3, what is the value of y when x = 11?

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$$1225$$

$$9317$$

$$1037$$

$$575$$

$$1331$$

Question 4 of 5: Solve each Direct Variation Problem

If we disregard air resistance, the distance a body falls from rest varies directly with the square of time it falls. If a sky diver falls 64 feet in 2 seconds, how far will he fall in 20 seconds?

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$$5600\hspace{.25em}ft$$

$$1400\hspace{.25em}ft$$

$$6400\hspace{.25em}ft$$

$$2250\hspace{.25em}ft$$

$$1600\hspace{.25em}ft$$

Question 5 of 5: Solve each Direct Variation Problem

The yearly simple interest earned on an investment varies directly with the rate of interest. If the yearly simple interest earned is $50 when the rate is 1%, what is the yearly simple interest earned when the rate is 8%?

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$$\$500$$

$$\$400$$

$$\$1200$$

$$\$800$$

$$\$500$$

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