[tex]25000 (0.91)^t[/tex] is the exponential function models the value v of the car after t years.
What is exponential functions?
The exponential function is a mathematical function denoted by f(x)=\exp or [tex]e^{x}[/tex]. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
According to questions, Deepak bought a new car at the dealership for $[tex]25000[/tex].It is estimated that the value of the car will decrease [tex]9[/tex]% each year.
So, the exponential function models can be written as:
[tex]V (t)=25000 (1-\frac{9}{100} )^t[/tex]
⇒ [tex]V (t)=25000 (1-0.09)^t[/tex]
⇒[tex]V (t)=25000 (0.91)^t[/tex]
Hence, we can conclude that [tex]V (t)=25000 (0.91)^t[/tex] is the exponential function models the value v of the car after t years.
Learn more about exponential function here:
https://brainly.com/question/14355665?referrer=searchResults
#SPJ2
