Z=18x^2/y
If x increases by 4%, find the percentage change in y such that z increases by 35.2%.
F.4 VARIATIONS
2010-12-20 6:42 am
回答 (1)
2010-12-20 7:34 pm
✔ 最佳答案
z = 18x^2/yy = 18x^2/z
Let x_0, y_0 and z_0 be the original values of x, y and z respectively.
New value of x = (1+4%)x_0 = 1.04x_0
New value of z = (1+35.2%)z_0 = 1.352z_0
New value of y = 18(1.04x_0)^2 / 1.352z_0 = (0.8)18x_0^2/z_0 = 0.8y_0
Percentage change in y = (0.8y_0 - y_0) / y_0 * 100% = -20%
y is decreased by 20%.
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https://hk.answers.yahoo.com/question/index?qid=20101219000051KK01324