Explanation
Correct answer: A.
Choice A is correct. It's given that the data shown in the scatterplot give the recorded temperature, in degrees Celsius, for depths, in meters, below the surface of a lake. The graph of an appropriate line of best fit for the data shown passes approximately through the points and . The slope of a line in the xy-plane that passes through the points and can be calculated as . Substituting and for and , respectively, in the expression yields , or , which is approximately . Therefore, of the given choices, is closest to the slope of a line of best fit for the data shown.
Desmos solution:
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Why the other choices are wrong
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.