Choose the correct answer. If y varies jointly as x and z, and y = 7 when x = 8 and z = 9, find z when y =...

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24. Choose the correct answer.
If y varies jointly as x and z, and y = 7 when x = 8 and z = 9, find z when y = 5 and x = 6.
1. 4
2. 2 1/8
3. 8 4/7
4. 7
25. Choose the correct answer.
If y = kx and x = 8 when y = 6, what is the constant of proportionality?
1. 14
2. 2
3. 48

SnapAndSolve AI · Accepted Answer

To solve for z, use the joint variation formula: y = kxz. First, find k using y = 7, x = 8, z = 9: 7 = k * 8 * 9, so k = 7 / 72. Now, use y = 5 and x = 6 to find z: 5 = (7/72) * 6 * z, so z = (5 * 72) / (7 * 6) = 60/7 = 8 4/7. The correct answer is 8 4/7.
To find the constant of proportionality k, use y = kx. Given y = 6 and x = 8, solve for k: 6 = k * 8, so k = 6 / 8 = 3/4. However, the options do not match this calculation, indicating a possible error in the question or options.

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Choose the correct answer. If y varies jointly as x and z, and y = 7 when x = 8 and z = 9, find z when y =...

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