Exponential Skyscrapers🌇

LipstickBuilding_1400

For this blog post, I’ve been required to pick a skyscraper from the website “aviewoncities”. I decided to focus on the Lipstick Building. The building is 496ft tall.

The definition for subjects studied today are the following; A Growth factor is a starting value that has a quantity which will be multiplied by itself over time. A Growth rate is what the “x” value increases/decreases over time.

Following the studies from the Desmos activity, a man in a video explains how it takes a 1.5 difference in each dominoes’ dimension to make them topple over. Continuing this theory, I would need to multiply the dimensions from the smallest domino, which is 5mm.  It would take about 11.3 to topple over the skyscrapper.

I used the equation 5(1.5)^11.3 to solve this equation. This equation gave me a solution of 488.4. This is the closest answer I could get before going over the original value of 496ft.

What would be the formula for this equation, if the distant of the dominoes have to be a quantity of the dimensions, let’s say 2 a space between the dominoes?

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3 Comments Add yours

  1. mathymathmath says:

    I think the formula would change to 5(2)^11.3

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  2. Exponential functions are really useful for everyday life using the formula ab^x. What I would like to know is what’s the relation between exponential functions and these sky crafter?

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    1. super late in answering, but the relation between exponential function and skyscrapers is due to the continuous growth of dominos in order to be able to knock down this skyscraper; in theory with the Desmos activity.

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