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2 years ago

10

An amphitheatre has 23 seats in the first row, 25 in the second, 27 in the third, and so on, for 32 rows. How many seats are in

the amphitheatre? The amphitheatre has seats

1 answer:

dezoksy [38]2 years ago

3 0

It has 1,995 seats.

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$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& -4~) 
% (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
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\\\\\\
% point-slope intercept
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$\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
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\\\\\\
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side note: multiplying by the LCD of both sides is just to get rid of the denominators

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