The shape of an entrance to a tunnel can be modeled by the graph of the equation y = -0.2x(x - 20) where x and y are measured in feet. On a coordinate plane, the ground is represented by the x-axis. How wide is the tunnel at its base? *Explain *how you found your answer.

GAMEMASTERX40
Apr 7, 2018

#1**+2 **

Since we know it is an upside down parablola, the two points where it crosses the x axis (where y=0) will define the width

so

y = 0 = -0.2 x (x-20) means x = 0 and x = 20 are the places where it crosses the x-axis (ground level)

distance between 0 and 20 = 20 ft

ElectricPavlov
Apr 7, 2018