Given the price model:
[tex]p=\sqrt[]{81-x^2}[/tex]
Where x represents the number of thousands of canisters and p is the price.
(a) If p = 8:
[tex]8=\sqrt[]{81-x^2}[/tex]
Taking the square on both sides:
[tex]\begin{gathered} 8^2=81-x^2 \\ 64=81-x^2 \\ \Rightarrow x^2=17 \\ \Rightarrow x=\sqrt[]{17} \end{gathered}[/tex]
(b)
If the price is 8, the number of canisters demanded is 1000*x, since x represents the number of thousands of canisters. Then, to the nearest whole number:
[tex]\begin{gathered} \text{Number of canisters demanded }=1000\cdot\sqrt[]{17} \\ \Rightarrow\text{Number of canisters demanded }=4123 \end{gathered}[/tex]
