Function Festival 2000-1

Escalator Fun At The St. Louis Galleria Mall

Galeria Theater Up Escalator

[ d = r t ] 1. The escalator* from the theater level to the ground floor of the Galleria Mall Atrium takes you 16 feet above the theather ticket office floor. There is a 30 degree inclination of this escalator with respect to the theater floor.

Galeria Theater Up Escalator

[ d = r t ] 2. Next time you go to this mall take a stopwatch and time the trip from the theater floor escalator comb to the ground floor escalator comb. Please send your results to us!

[ d = r t ] 3. You will need to add 16 inches at the top and 16" at the bottom** as well as calculate the tread belt distance from floor to floor, using information from step 1 above, to find a value for d.

[ d = r t ] 4. Find the escalator tread rate, r, or speed using your time and the total*** distance from comb to comb of the escalator.

[ d = r t ] 5. Now substitute your value for the escalator rate, r, or speed into d = r t so that

d = (your number for rate) t

forms a linear relationship between d and t. Now we consider your formula for distance, d, to be a "function" of time, t.

Galeria Theater UP Escalator


Related Concepts:

Speed     Function Notation     Y Rate     X Rate     Slope     Linear Functions

    Related Rate Equations     Linear Motion     History of d = r t


Notes And Hints:

*escalator - stairway treads moving from floor to floor - the treads form a belt or chain.

** 16" at the top and bottom allow for the step to be level with the floor.

*** Have you calculated the length of this escalator? Remember a 30 dregree angle is half of a sixty degree angle and sides opposite equal angles are equal.

For more information and ideas about an escalator project you may link to a page written by one of the following math artists: Danielle, Darlene, Kellie, Jill, Nanyal, Kevin, Crystal, Rachel, Christina, Jennifer, Candice, Vincent, Esther and Melinda. Most of us are in this picture but not in order of names.

Have Some
Math Fun!  Click on this picture to go to our next web page project.


Other FUNctions

The Story Board


Copyright © 2000 with all rights reserved by William V. Thayer, PedLog contact us! 21