Respuesta :
The area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per 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]\rm 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]\rm y = a(1-r)^n[/tex]
We have a = 1140 m²
r = 5% = 0.05
n = 9
[tex]\rm y = 1140(1-0.05)^9[/tex]
y = 718.48 m²
Thus, the area of the 9th floor is 718.48 m² if the ground floor(floor 0) is the largest and the floor space is reduced by 5% per floor.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ1
