Answer:
The base of the exponential function is 0.90
Step-by-step explanation:
we know that
The exponential function that models this situation is equal to
[tex]V(x)=P(1-r)^{x}[/tex]
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
[tex]P=\$7,000\\r=10\%=0.10[/tex]
substitute
[tex]V=7,000(1-0.10)^{x}[/tex]
[tex]V=7,000(0.90)^{x}[/tex]
therefore
The base of the exponential function is 0.90
