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olga_2 [115]
3 years ago
5

A towns population has been growing literally

Mathematics
1 answer:
Tresset [83]3 years ago
6 0
\bf \begin{array}{ccll}
\stackrel{\textit{years since 2000}}{t}&\stackrel{population}{p}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&29400\\
5&36000
\end{array}\\\\
-------------------------------\\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 2}}\quad ,&{{ 29400}})\quad 
%   (c,d)
&({{ 5}}\quad ,&{{ 36000}})
\end{array}

\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{36000-29400}{5-2}\implies \cfrac{6600}{3}
\\\\\\
2200
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies \stackrel{y}{p}-29400=2200(\stackrel{x}{t}-2)
\\\\\\
p-29400=2200t-4400\implies p(t)=2200t+27200

how many in 2007?  well, 2007 is 7 years after 2000, thus set t = 7,to get p(t).
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<u>Step-by-step explanation:</u>

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