Assume It Costs 30 Cents to Mail a Letter Weighing

question 152

Multiple Choice

Assume it costs 30 cents to mail a letter weighing one ounce or less, and then 28 cents for each additional ounce or fraction of an ounce. Write a piecewise-defined function P(x) that represents the cost, in cents, of mailing a
Letter weighing between 0 and 3 ounces.

• A) \(\mathrm { P } ( \mathrm { x } ) = \left\{ \begin{array} { l l } 30 & \text { if } x \leq 1 \\ 58 & \text { if } 1 < x \leq 2 \\ 86 & \text { if } 2 < x \leq 3 \end{array} \right.\)
• B) \(P ( x ) = \left\{ \begin{array} { l l } 30 & \text { if } x < 1 \\ 58 & \text { if } 1 \leq x < 2 \\ 86 & \text { if } 2 \leq x < 3 \end{array} \right.\)
• C) \(P ( x ) = \left\{ \begin{array} { l l } 30 & \text { if } 1 < x \leq 2 \\ 58 & \text { if } 2 < x \leq 3 \\ 86 & \text { if } 3 < x \leq 4 \end{array} \right.\)
• D) \(\mathrm { P } ( \mathrm { x } ) = \left\{ \begin{array} { l l } 58 & \text { if } x \leq 1 \\ 86 & \text { if } 1 < x \leq 2 \\ 114 & \text { if } 2 < x \leq 3 \end{array} \right.\)

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Definitions:

Creative Idea

An innovative or original thought that has the potential to lead to something new, whether in art, science, business, or any other field.

Large Number

A mathematical concept referring to numbers that are significantly larger than those typically used in everyday life or basic arithmetic.

Cognitive Characteristic

Traits related to the mental processes involved in knowledge, understanding, problem-solving, and decision-making.

Divergently Thinking

The ability to think in varied and unique directions to generate multiple solutions for a given problem.