Explanation
Correct answer: B.
Choice B is correct. It's given that inch on the drawing represents an actual distance of miles and that the larger drawing has a side length that is longer than the side length of the previous drawing. It follows that , or inches, on the larger drawing also represents an actual distance of miles. Therefore, the scale of the larger drawing can be represented as , which is approximately miles per inch. Therefore, is closest to the actual distance, in miles, represented by inch on the larger drawing.
Desmos solution:
Note: The distance stays the same, while a 65% increase makes the side length 165 percent of its original value, so divide the unchanged distance by the increased side length.
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 and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.