A Union Contract Guarantees A $16 \%$ Salary Increase Yearly for 3 Years

question 9

Multiple Choice

A union contract guarantees a $16 \%$ salary increase yearly for 3 years. For a current salary of $\$ 31,500$ , the salary $f ( t )$ (in thousands of dollars) for the next 3 years is given by
$$f ( t ) = \left\{ \begin{array} { l l } 31.50 , & 0 < t \leq 1 \\36.54 , & 1 < t \leq 2 \\42.39 , & 2 < t \leq 3\end{array} \right.$$
where $t$ represents the time in years. Find the limit of $f$ as $t \rightarrow 1.00$ , if it exists.

• A) \(31.50\)
• B) \(36.54\)
• C) \(1.00\)
• D) \(42.39\)
• E) The limit does not exist.

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Definitions:

Styloid Process

A slender, pointed piece of bone just below the ear, attached to ligaments and muscles associated with the tongue and hyoid bone.

Olecranon Fossa

A deep notch on the posterior side of the humerus bone, into which the olecranon process of the ulna fits when the arm is extended.

Lateral Epicondyle

A bony prominence on the outer side of the elbow, to which forearm muscles are attached.

Deltoid Tuberosity

A roughened area on the middle of the outer surface of the humerus, where the deltoid muscle attaches.