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The table shows the number of weeks of vacation employees receive each year, based on the number of years they have been employed. What does [tex]$K(15)=5$[/tex] mean in terms of the problem?

\begin{tabular}{|c|c|}
\hline
Years of Service & Weeks of Vacation \\
\hline
1 & 1 \\
\hline
2 & 2 \\
\hline
5 & 3 \\
\hline
10 & 4 \\
\hline
15 & 5 \\
\hline
20 & 6 \\
\hline
30 & 8 \\
\hline
\end{tabular}

A. A worker with 5 years of service gets 15 weeks of vacation each year.

B. A worker took 5 weeks of vacation in 15 years.

C. A worker with 15 years of service gets 5 weeks of vacation each year.

D. There are 5 workers who have 15 years of service each.

Sagot :

GinnyAnsweridn
Let's interpret the notation [tex]\( K(15) = 5 \)[/tex].

In this context, [tex]\( K \)[/tex] is a function that represents the number of weeks of vacation employees receive based on their years of service. The value inside the parentheses, in this case, 15, indicates the number of years an employee has worked. The value of the function, 5, is the corresponding number of weeks of vacation.

Hence, [tex]\( K(15) = 5 \)[/tex] means that an employee who has been employed for 15 years receives 5 weeks of vacation each year.

Given this explanation, the correct interpretation among the provided options is:
C. A worker with 15 years of service gets 5 weeks of vacation each year.
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