b) What rill be the population in 8 years? Vear? poplativn in $+=8$
$$\begin{array}{l}P=1000{\left(\frac{81}{16}\right)}^{\frac{-8}{4}}P=34\\ P=1000{\left(\frac{81}{16}\right)}^{-2}⋮\text{ the popurapich will }\\ P=1000(0.0391\text{ be }39i18\text{ years }\end{array}$$
2. A shark $p^{\prime }$, is created in a rectangular shape. It can be represented approximately by the trinomial
$$15x^2-2x-8$$
a) Factor the expression $15x^2-2x-8$ to find binomials that represent the length and width of the pen.
14
$$\begin{array}{rl}15x^2-2x-8-12\times 10& =-120\\ -12+10& =-2\end{array}$$
b) If $\mathrm{x}$ represents $18\mathrm{m}$, what are the length and width of the pen, in meters?
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Step 1 ：First, we need to find the population in 8 years using the formula $P=1000\ast (\frac{81}{16}{)}^{-\frac{8}{4}}$.

Step 2 ：Calculating the population, we get $P\approx 39.018$.

Step 3 ：Next, we need to factor the expression $15x^2-2x-8$.

Step 4 ：Factoring the expression, we get $(3x+2)(5x-4)$.

Step 5 ：Finally, we need to find the length and width of the pen when $x=18$ meters.

Step 6 ：Substituting $x=18$ into the factored expression, we get $(3(18)+2)(5(18)-4)$.

Step 7 ：Calculating the length and width, we get $4816$ square meters.

Step 8 ：$\boxed{{\displaystyle 1.\text{ The population in 8 years will be approximately 39.}}}$

Step 9 ：$\boxed{{\displaystyle 2.\text{ The factored expression for the pen is }(3x+2)(5x-4).}}$

Step 10 ：$\boxed{{\displaystyle 3.\text{ The length and width of the pen when }x=18\text{ meters are 4816 square meters.}}}$