The function f defined by f ( t ) = 14 t + 9 gives the estimated length, in inches,

Question

The function f defined by f ( t ) = 14 t + 9 gives the estimated length, in inches, of a vine animal t months after Tavon purchased it. Which of the following is the best interpretation of 9 in this context?

Accepted Answer

Choice D is correct. It's given that the function f defined by f t = 14 t + 9 gives the estimated length, in inches, of a vine animal t months after Tavon purchased it. For a function defined by an equation of the form f t = m t + b , where m and b are constants, b represents the value of f 0 , or the value of f t when the value of t is 0 . Therefore, for the function defined by f t = 14 t + 9 , 9 represents the value of f t when the value of t is 0 . This means that 0 months after the vine animal was purchased, the estimated length of the vine animal was 9 inches. Therefore, the best interpretation of 9 in this context is the estimated length of the vine animal was 9 inches when Tavon purchased it. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect. The vine animal is expected to grow 14 inches, not 9 inches, each month. Choice C is incorrect and may result from conceptual or calculation errors.

Question a27bd4