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Advanced Math / Nonlinear functions Difficulty: Hard

fx=1.84x4

The function f is defined by the given equation. The equation can be rewritten as fx=1+p100x, where p is a constant. Which of the following is closest to the value of p ?

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Explanation

Choice A is correct. The equation fx=1.84x4 can be rewritten as fx=1.8414x, which is equivalent to fx=1.8414x, or approximately fx=1.16467x. Since it's given that fx=1.84x4 can be rewritten as fx=1+p100x, where p is a constant, it follows that 1+p100 is approximately equal to 1.16467. Therefore, p100 is approximately equal to 0.16467. It follows that the value of p is approximately equal to 16.467. Of the given choices, 16 is closest to the value of p .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.