The estimated height, , of the fluid at the start of the experiment
The estimated height, , of the fluid at the end of the experiment
The estimated change in the height, , of the fluid each day
The estimated number of days for all the fluid to evaporate
Explanation
Correct answer: A.
Choice A is correct. It’s given that the function gives the estimated height, in centimeters (cm), of the fluid in the beaker days after the start of the experiment. For a function defined by an equation of the form , where and are constants, represents the value of when . It follows that in the given function, represents the value of when . Since represents the start of the experiment, then the best interpretation of in this context is that the estimated height, in cm, of the fluid was at the start of the experiment.
Desmos solution:
Note: Evaluate f(0)=39, so 39 is the estimated fluid height at the start of the experiment.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from conceptual errors.
Choice C
Choice C is incorrect. The estimated change in the height, in cm, of the fluid each day is , not .
Choice D
Choice D is incorrect and may result from conceptual errors.