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If x varies inversely as v, and x = 6 when y = 8, find x when v = 16

a. 3
b. 24
c. 64
d. 2

User Yolly
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1 Answer

6 votes

Final answer:

To find the value of x when v is 16, knowing x varies inversely as v and x equals 6 when v is 8, multiply x and v to find the constant (48). Then, use this constant to determine that x equals 3 when v is 16.

Step-by-step explanation:

If x varies inversely as v, it means that the product of x and v is constant. Given that x = 6 when v = 8, we can find the constant by multiplying these two values: 6 × 8 = 48. This constant value must hold true for all values of x and v that are inversely proportionate to each other.

To find the value of x when v = 16, we set up the equation x × 16 = 48. Dividing both sides by 16 to solve for x gives x = 48 / 16 = 3. Therefore, x equals 3 when v equals 16. The correct answer is a. 3.

User Imran Balouch
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