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OpenStax, Precalculus 2e §7.6 Modeling with Trigonometric Functions · Exercise 16 · Trigonometry · Identities

Modeling with Trigonometric Functions · Exercise 16

For the following exercise, construct a function modeling behavior and use a calculator to find desired results.

A city’s average yearly rainfall is currently 20 inches and varies seasonally by 5 inches. Due to unforeseen circumstances, rainfall appears to be decreasing by 15% each year. How many years from now would we expect rainfall to initially reach 0 inches? Note, the model is invalid once it predicts negative rainfall, so choose the first point at which it goes below 0.

Its source prints no answer for this problem, so there's nothing to check against.

~8 minWritten answer · compare with the solution

OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 16

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