8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ba499f70-f2ee-4eff-b15c-33c3f09297f0-14_622_805_141_660}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
The resting heart rate, \(h\), of a mammal, measured in beats per minute, is modelled by the equation
$$h = p m ^ { q }$$
where \(p\) and \(q\) are constants and \(m\) is the mass of the mammal measured in kg .
Figure 2 illustrates the linear relationship between \(\log _ { 10 } h\) and \(\log _ { 10 } m\)
The line meets the vertical \(\log _ { 10 } h\) axis at 2.25 and has a gradient of - 0.235
- Find, to 3 significant figures, the value of \(p\) and the value of \(q\).
A particular mammal has a mass of 5 kg and a resting heart rate of 119 beats per minute.
- Comment on the suitability of the model for this mammal.
- With reference to the model, interpret the value of the constant \(p\).
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