4. Bill is on his first day at work delivering furniture for a large store in Calgary. He is unfamiliar with the city and in route to his first delivery he encounters and archway that supports an overpass
above him. He is not sure if his cube van will fit through the archway. The maximum height of the
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tunnel is 8 meters and follows a parabolic curve: y=-=-x? +4x. Bill decides to go through the
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tunnel knowing that his is truck is 2.5m wide and only 5m tall. There are two lanes through the
tunnel but traffic is heavy and he is forced to stay in his own lane. Will Bill make it through the
tunnel or will this be his last day on the job? Explain.