Answer
$Q(t)=7+0.17 t$
Work Step by Step
Given
$$
\begin{array}{c|c|c|c}
\hline t & 3 & 10 & 14 \\
\hline Q(t) & 7.51 & 8.7 & 9.39 \\
\hline
\end{array}
$$
A function is linear if the slope is a constant.
$\begin{aligned} &m= \frac{8.70-7.51}{10-3}=0.17 \\ & m= \frac{9.39-8.7}{14-10}=0.17\end{aligned}$
The function is approximately linear with slope $m= 0.17$. Find the y intercept from:
$$
\begin{aligned}
Q(t) & =b+0.17 t \\
7.51 & =b+0.17(3) \\
7.51-0.51 & =b \\
b & =7 .
\end{aligned}
$$
Hence:
$Q(t)=7+0.17 t$
