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Choose the correct answer. If y varies inversely as x and the constant of proportionality is k = 5, what is...

2. Choose the correct answer.
If y varies inversely as x and the constant of proportionality is k = 5, what is y when x = 2?
2.5
7
3
10
3. Choose the correct answer.
If y varies directly as x and inversely as z, and y = 5 when x = 4 and z = 3, find y when x = 8 and z = 5.
7
11
6
4

Answer

  1. If y varies inversely as x, then y = k/x. Given k = 5 and x = 2, y = 5/2 = 2.5. The correct answer is 2.5.

  2. If y varies directly as x and inversely as z, then y = kx/z. Given y = 5 when x = 4 and z = 3, we have 5 = k(4)/3, so k = 15/4. Now, find y when x = 8 and z = 5: y = (15/4)(8)/5 = 6. The correct answer is 6.

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