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

question 94

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:

Acetylcholine

A neurotransmitter in both the central and peripheral nervous systems that plays a key role in arousal, attention, memory, and motivation.

Somatic Nervous System

A part of the peripheral nervous system that controls voluntary movements of the body through the control of skeletal muscles.

Autonomic Nervous System

The part of the nervous system that controls involuntary functions such as heart rate, digestion, and respiratory rate, divided into the sympathetic and parasympathetic systems.

Chemical Synapses

Specialized junctions through which neurons signal to each other and to non-neuronal cells, allowing the transmission of chemical messengers (neurotransmitters).