instruction:
You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.
question:
The daily cost of running a certain air conditioner is 12 cents per hour for the first 8 hours and 10 cents per hour for each additional hour over 8 hours. Which of the following expressions represents the cost, in dollars, of running this air conditioner for h hours each day, for 90 days, if \(8 < h < 24\)?
(A)\(90(0.12) + 9(h - 8)\) (B)\(90(0.12)h + h - 8\) (C)\(90(0.12)h + 9(h - 8)\) (D)\(90(0.12)(8) + 9(h - 8)\) (E)\(90(0.12)(8) + (h - 8)\)
answer:
D


question:
Peter bikes on a 100 mile path at an average of 10 miles per hour for the first \(k\) hours. In terms of \(k\), how many miles remain to be traveled?
(A)\(10k\) (B)\(40k\) (C)\(10(10 - k)\) (D)\(100(10 - k)\) (E)\(10(k - 100)\)
answer:
C


question:
The weights, in kilograms, of five students are 48, 56, 61, 52, and 57. If 1 kilogram = 2.2 pounds, how many of the students weigh over 120 pounds?
(A)1 (B)2 (C)3 (D)4 (E)5
answer:

C