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Use the model y = 1.31 ∙ (2.64)x to predict the input when the output is 8 to the nearest tenth.

Use the model y = 1.31 ∙ (2.64)^x to predict the input when the output is 8 to the nearest tenth.

asked Jun 2, 2014 in PRECALCULUS by bilqis Pupil

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1 Answer

The equation is .

Predict the input when the output is 8, means that, find x ,when y = 8,

Take common log on each side.

Apply product property of logarithm : .

Apply power property of logarithm : .

Apply quotient property of logarithm : .

.

The nearest tenth of 1.863 is 1.9.

The input is x = 1.9.

answered Jun 2, 2014 by lilly Expert

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