SOLUTION: A room with dimensions 20 feet by 26 feet is to be used to host a meeting. Under the CDC guidelines, we need to design the seats to be six feet apart. John suggested to put peo
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Question 1164436: A room with dimensions 20 feet by 26 feet is to be used to host a meeting. Under the CDC guidelines, we need to design the seats to be six feet apart. John suggested to put people in rows, with the first row facing the others, and to be used by the hosts.
How many rows can be used and what is the maximum number of people that can fit? (Hint: Make sure that the distance between any 2 consecutive points is exactly 6 feet.)
Janet suggested to put the attendees on a parabola-like setting, with the zeros of the function on one edge of the room. The vertices of the parabolas should also be 6 feet apart.
How many parabolas can you fit? Write the functions for each one.
Assume that the first point on the curve is 0, 0. Use the distance formula and your functions from part (b) to find the next possible point with a safe distance of six feet.
Write a rule to find the next consecutive points on the parabola with a safe distance.
How many people can you fit in the room if they are only allowed to sit on the designated parabolas?
Can we add more attendees to the room while keeping a safe distance? Create a graphical design for the room to maximize the number of attendees.
Is it possible to fit more attendees if they are required to sit on a circular arrangement? Create circles that are six feet apart to maximize the number of attendees. Find the coordinates of three consecutive seats on each arrangement.
