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 :
[tex]y=a^{x}[/tex], where a is a constant and a>1.
We know we can find the exponential decrease by the below formula:
[tex]y=a(1-r)^{n}[/tex]
a=13,300.0 ft², r=0.088 and n=10
⇒[tex]y=13,300(1-0.088)^{10}[/tex]
⇒[tex]y=13,300(0.912)^{10}[/tex]
⇒[tex]y=5294.196 ft^{2}[/tex]
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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