As part of a science project on evaporation, Amaya measured the height of a liquid in a container over a

Question

As part of a science project on evaporation, Amaya measured the height of a liquid in a container over a period of time. The function f x = 33 - 0.18 x gives the estimated height, in centimeters (cm), of the liquid in the container x days after the start of the project. Which of the following is the best interpretation of 33 in this context?

Accepted Answer

Choice A is correct. It's given that the function f x = 33 - 0.18 x gives the estimated height, in centimeters (cm), of the liquid in the container x days after the start of the project. For a linear function in the form f x = a + b x , where a and b are constants, a represents the value of f 0 and b represents the rate of change of the function. It follows that in the given function, 33 represents the value of f 0 . Therefore, the best interpretation of 33 in this context is the estimated height, in cm, of the liquid at the start of the project. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. The estimated change in the height, in cm, of the liquid each day is 0.18 , not 33 . Choice D is incorrect and may result from conceptual or calculation errors.

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