Answer
Consider the provided formula.
$h=2.9\sqrt{x}+36$
Substitute $0$ for $x$ and find $h$, that is.,
$\begin{align}
& h=2.9\sqrt{0}+36 \\
& =0+36 \\
& =36
\end{align}$
So, the value of $h$ is $36\text{ cm}$
(b)
Consider the given formula.
$h=2.9\sqrt{x}+36$
Substitute $9$ for $x$ and find $h$, that is.,
$\begin{align}
& h=2.9\sqrt{9}+36 \\
& =2.9\sqrt{{{3}^{2}}}+36 \\
& =2.9\left( 3 \right)+36 \\
& =44.7
\end{align}$
So, the value of $h$ is $44.7\text{ cm}$
(c)
Consider the provided formula.
$h=2.9\sqrt{x}+36$
Substitute $14$ for $x$ and find $h$, that is.,
$h=2.9\sqrt{14}+36$
Now, use a calculator to find the value.
That is.,
$\begin{align}
& h=46.85 \\
& \simeq 46.9
\end{align}$
So, the value of $h$ is $46.9\text{ cm}$
(d)
From the above graph check the corresponding values on $y\text{-axis}$ for both curves for $x=0,9,14$. Also, write the values as calculated in above parts.