f(x) 206(1.034)^x The function = models the value, in dollars, of a certain bank account by the end of each year from 1957 through 1972, where x is the number of years after 1957. Which of the following is f(5) the best interpretation of “ is approximately equal to 243” in this context?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
( =) ( )x Choice B is correct. It’s given that the function f x 2061.034 models the value, in dollars, of a certain bank account by the end of each year from 1957 ( ) through 1972, where x is the number of years after 1957. It follows that f x represents the estimated value, in dollars, of the bank account x years after ( ) ( ) = ( ) 1957. Since the value of f 5 is the value of f x when x 5, it follows that “f 5 ( ) is approximately equal to 243” means that f x is approximately equal to 243 = when x 5. In the given context, this means that the value of the bank account is estimated to be approximately 243 dollars 5 years after 1957. Therefore, the ( ) best interpretation of the statement “f 5 is approximately equal to 243” in this context is the value of the bank account is estimated to be approximately 243 dollars in 1962. Choice A is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors. Choice D is incorrect and may result from conceptual errors.
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