Question

An architect is designing a tapered office

Answer 1

The area of the 10th floor is 5294.196 ft² if the ground floor(floor 0) is the largest and the floor space is reduced by 8.8% per floor.

It is given that the ground floor has an area of 13,300.0 ft².

If the floor space is reduced by 8.8% per floor, then we need to find the area of a 10th floor.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent :

$y=a^{x}$, where a is a constant and a>1.

We know we can find the exponential decrease by the below formula:

$y=a(1-r)^{n}$

a=13,300.0 ft², r=0.088 and n=10

⇒$y=13,300(1-0.088)^{10}$

⇒$y=13,300(0.912)^{10}$

⇒$y=5294.196 ft^{2}$

Thus, the area of the 10th floor is 5294.196 ft² if the ground floor(floor 0) is the largest and the floor space is reduced by 8.8% per floor.

Learn more about the exponential function here:

brainly.com/question/11487261

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