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Choose the correct answer. If y varies jointly as x and z, and y = 20 when x = 15 and z = 6, find y when x...

20. Choose the correct answer.
If y varies jointly as x and z, and y = 20 when x = 15 and z = 6, find y when x = 9 and z = 7.
16
14
15
13

Answer

Since y varies jointly as x and z, we have the equation y = kxz, where k is a constant.

First, find k using the given values: y = 20, x = 15, z = 6.

20 = k * 15 * 6

20 = 90k

k = 20/90 = 2/9

Now, find y when x = 9 and z = 7:

y = (2/9) * 9 * 7

y = 2 * 7

y = 14

The correct answer is 14.

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