Answer:
The boat worth is $5101.04 after 8 years .
Option D is correct .
Step-by-step explanation:
The decrease exponential function is written in the form
[tex]y = a (1 - r)^{t}[/tex]
Where a is the initial value , r is the rate of interest in the decimal form and t is the time in years .
As given
A boat costs $11,850 and decreases in value by 10% per year .
a = $ 11850
10% is written in the decimal form
[tex]= \frac{10}{100}[/tex]
= 0.10
t = 8 years
Put all the values in the function
[tex]y = 11850(1 - 0.10)^{8}[/tex]
[tex]y = 11850(0.9)^{8}[/tex]
[tex]y = 11850\times 0.430467[/tex]
y = $5101.04
Therefore the boat worth is $5101.04 after 8 years .
Option D is correct .
