Explanation
Correct answer: B.
Choice B is correct. It's given that the function gives the estimated surface water temperature, in degrees Celsius, of a body of water on the th day of the year. Substituting for in the given function yields , which is equivalent to , or . Therefore, the estimated surface water temperature, in degrees Celsius, of this body of water on the th day of the year is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect. This is the rate of change, in degrees Celsius per day, of the estimated surface water temperature.
Choice D
Choice D is incorrect. This is the change, in degrees Celsius, in the estimated surface water temperature over days.