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

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.

Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

PLEASE never post in this format.

Thank you.

Have a nice day (!)

RELATED QUESTIONS
What is the equation for -The dimensions fo the solar-room are 10 feet by 20 feet with... (answered by josmiceli)

Jaunice is redecorating her room. She wants to paint a design on a rectangular section... (answered by Boreal)

A rectangular storage room has dimensions 10 feet by 14 feet by 30 feet. What is the (answered by Boreal)

The ratio of the length of a rectangular meeting room to its width is 4:3. The perimeter... (answered by stanbon)

Jenn and Aaron are adding an extra room to their house. The blueprints indicate the room... (answered by gsmani_iyer)

a tool room 28 feet by 35 feet was enlarged to the dimensions of 30 feet by 43 feet. by... (answered by ikleyn)

I need help with the dimensions of a strip of flooring around a rug. Catarina and... (answered by AnlytcPhil)

A couple has a home with 2400 sq feet of living space. They want to take a tax dedution... (answered by rfer)

A room is 10.5 by 13 feet. How much carpeting is need to cover the floor? (answered by piglet162431)