Answer
See graphs
Work Step by Step
We are given the functions:
$$\begin{align*}
S(t)&=-0.122t^3+3.49t^2-14.6t+136\tag1\\
H(t)&=-0.115t^3+3.71t^2-20.6t+124\tag2.
\end{align*}$$
Use equations $(1)$ and $(2)$ to build a table of values for the two functions:
\[ \begin{array}{|c|c|c|}
\hline
t& S(t) &H(t) \\
\hline
0 &136.0 & 124.0\\
\hline
1 & 124.8 & 107.0\\
\hline
2 & 119.8 & 96.7\\
\hline
3 & 120.3 & 92.5\\
\hline
4 & 125.6 & 93.6\\
\hline
5 & 135.0 & 99.4\\
\hline
6 & 147.7 & 109.1\\
\hline
7 &163.0 & 122.1\\
\hline
8 &180.1 & 137.8\\
\hline
9 &198.4 & 155.3\\
\hline
10 &217.0 &174.0\\
\hline
\end{array}\]
Using the ordered pairs $(t,S(t))$ and $(t,H(t))$ from the table of values, we graph the two functions:
