The entrance of a tunnel can be modeled by y=-frac{11}{50}(x-4)(x-24) where x and y are measured in feet. The x-axis represents the ground. Find the width of the tunnel at ground level.

Carol Gates 2021-01-28 Answered
The entrance of a tunnel can be modeled by $y=-\frac{11}{50}\left(x-4\right)\left(x-24\right)$ where x and y are measured in feet. The x-axis represents the ground. Find the width of the tunnel at ground level.
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Calculation:
The given equation $y=\frac{-11}{50}\left(x-4\right)\left(x-24\right)$ at x-axis.
$y=0$
$0=\frac{-11}{50}\left(x-4\right)\left(x-24\right)$
$0=\left(x-4\right)\left(x-24\right)$

$x=4,24$
Thus, the width of tunnel is $=24-4=20.$
Jeffrey Jordon