TASK DEFINITION: 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.
PROBLEM: The cost for coal from a certain company is \$15 for the first pound plus \$6 for each additional pound of coal. Which of the following functions gives the total cost, in dollars, for p pounds of coal?
(A)\(C(p) = 6p - 15\) (B)\(C(p) = 6p - 9\) (C)\(C(p) = 6p\) (D)\(C(p) = 6p + 9\) (E)\(C(p) = 6p + 15\)

SOLUTION: D

PROBLEM: Each time that Sophie counted her marbles by either 3's or 5's she had one left over. But when she counted them by 7's she had none left over. What is the least number of marbles she could have had?
(A)35 (B)49 (C)70 (D)91 (E)105

SOLUTION: D

PROBLEM: Phil's Phone Shop sells three models of cellular phones, priced at \$100, \$125, and \$225. In January, Phil sold exactly the same number of each model. What percent of the total income from the sales of cellular phones was attributable to sales of the cheapest model?
(A)\(22\frac { 2 } { 9 } \%\) (B)\(28\frac { 4 } { 7 } \%\) (C)\(33\frac { 1 } { 3 } \%\) (D)\(44\frac { 4 } { 9 } \%\) (E)It cannot be determined from the information given.

SOLUTION:
A