Explanation
Correct answer: D.
Choice D is correct. Placing the parking spaces with the minimum width of feet gives the maximum possible number of parking spaces. Thus, the maximum number that can be placed perpendicular to a -foot-long curb is . Placing the parking spaces with the maximum width of feet gives the minimum number of parking spaces. Thus, the minimum number that can be placed perpendicular to a -foot-long curb is . Therefore, if is the number of parking spaces in the lot, the range of possible values for is .
Desmos solution:
Note: The list w = [7.5, 8, 8.5, 9] tests the possible widths; n = 135/w shows that when w is smallest (7.5), n is largest (18), and when w is largest (9), n is smallest (15).
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This choice equates the length of the curb with the maximum possible number of parking spaces.
Choice B
Choice B is incorrect. This is the range of possible values for the width of a parking space instead of the range of possible values for the number of parking spaces.
Choice C
Choice C is incorrect. This choice equates the length of the curb with the maximum possible number of parking spaces.