A Union Contract Guarantees A $15 \%$ Salary Increase Yearly for 3 Years

question 3

Multiple Choice

A union contract guarantees a $15 \%$ salary increase yearly for 3 years. For a current salary of $\$ 31,000$ , the salary $f ( t )$ (in thousands of dollars) for the next 3 years is given by
$$f ( t ) = \left\{ \begin{array} { l l } 31.00 , & 0 < t \leq 1 \\35.65 , & 1 < t \leq 2 \\41.00 , & 2 < t \leq 3\end{array} \right.$$
where $t$ represents the time in years. Find the limit of $f$ as $t \rightarrow 1.00$ , if it exists.

• A) \(31.00\)
• B) \(35.65\)
• C) \(1.00\)
• D) \(41.00\)
• E) The limit does not exist.

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