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If x varies inversely as y3 – 1 and is equal to 3 when y = 2, find x when y = 4.
- a)1/4
- b)1/3
- c)1/9
- d)1
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If x varies inversely as y3 – 1 and is equal to 3 when y = 2, fi...
x = k/(y3 – 1). This gives k = 3 × 7 = 21.
When, y = 4, the equation becomes x = 21/(43 – 1) = 21/63 = 1/3.
When, y = 4, the equation becomes x = 21/(43 – 1) = 21/63 = 1/3.
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Community Answer
If x varies inversely as y3 – 1 and is equal to 3 when y = 2, fi...
If x varies inversely as y^3, it means that as y increases, x decreases, and vice versa.
Mathematically, this relationship can be expressed as:
x = k / y^3
where k is the constant of variation. The value of k remains constant as x and y change.
Mathematically, this relationship can be expressed as:
x = k / y^3
where k is the constant of variation. The value of k remains constant as x and y change.
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