suppose that W is inversely proportional to V. If W = 63 when V = 9, find W when V = 81
since WV is constant,
63*9 = W*81
567
To solve this problem, we'll use the formula for inverse variation:
W = k/V
where k is the constant of variation.
We can find the value of k by plugging in the given values: W = 63 when V = 9.
63 = k/9
To solve for k, we can multiply both sides of the equation by 9:
63 * 9 = k
k = 567
Now that we have the value of k, we can use it to find W when V = 81.
W = k/V
W = 567/81
By dividing 567 by 81, we find that W ≈ 7.
Therefore, when V = 81, W ≈ 7.