Answer:
[tex]\boxed{\textsf{ The correct option is \textbf{ option C } . }}[/tex]
Step-by-step explanation:
Given that Sara bought a car for $ 23,000 . The interest of loan is 2 .5% . And we need to write a equation g(t) to represent the amount of money that she will owe after t years. Also the amount is compound annually . We know the formula of CI as ,
Compound Interest :-
[tex]\qquad\boxed{\boxed{ \sf CI =Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} }}[/tex]
Let us take that ,
[tex]\sf\implies f(x)=g(t)[/tex]
Put on the respective values :-
[tex]\sf\implies f(x) = Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} \\\\\sf\implies f(x)= 23,000 \bigg( 1 + \dfrac{2.5}{100}\bigg)^t\\\\\sf\implies f(x)= 23,000 \bigg( 1+\dfrac{25}{1000}\bigg)^t \\\\\sf\implies \boxed{\pink{\frak{ f(x)= 23,000 ( 1+0.025)^t }}}[/tex]
