Choose the correct answer. If y varies inversely as x so that y = \frac{2}{3} when x = \frac{3}{4}, what...

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9) Choose the correct answer.
If y varies inversely as x so that y = \frac{2}{3} when x = \frac{3}{4}, what will x be when y = 1?
10) Choose the correct answer.
If y varies inversely as x so that y = 1.8 when x = 3.2, what will x be when y = 0.5?

SnapAndSolve AI · Accepted Answer

Since y varies inversely as x, we have y * x = k (a constant).
Given y = \frac{2}{3} and x = \frac{3}{4}, we find k:
\(\frac{2}{3} * \frac{3}{4} = k\)
k = \frac{1}{2}.
Now, when y = 1, we solve for x:
1 * x = \frac{1}{2}
x = \frac{1}{2}.
The correct answer is \(\frac{1}{2}\).
Since y varies inversely as x, we have y * x = k (a constant).
Given y = 1.8 and x = 3.2, we find k:
1.8 * 3.2 = k
k = 5.76.
Now, when y = 0.5, we solve for x:
0.5 * x = 5.76
x = \frac{5.76}{0.5} = 11.52.
The correct answer is 11.52.

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Choose the correct answer. If y varies inversely as x so that y = \frac{2}{3} when x = \frac{3}{4}, what...

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