6:05 PM Mon Oct 28
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Question 2
CLIMBING Indira is mountain climbing and starts the day at 182.5 meters above sea level. Each hour she descends 36.5 meters. The table shows the function relating Indira's height to the number of hours she is mountain climbing.
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Time \\
(hours)
\end{tabular} & \begin{tabular}{c}
Height \\
(meters)
\end{tabular} \\
\hline \( \boldsymbol{x} \) & \( \boldsymbol{y} \) \\
\hline 0 & 182.5 \\
\hline 2 & 109.5 \\
\hline 4 & 36.5 \\
\hline 5 & 0 \\
\hline
\end{tabular}
a. Find the intercepts.
The \( x \)-intercept is \( \square \) The \( y \)-intercept is \( \square \) .
b. Describe what the intercepts mean in the context of the situation.
The \( x \)-intercept means that after \( \square \) hours, Indira will be at a height of
\( \square \) meters, or it will take Indira \( \square \) hours to reach ground level.
The \( y \)-intercept means that Indira is at a height of \( \square \) meters after \( \square \) hours, or when Indira started mountain climbing, she was at a height of \( \square \) meters.