Ian has a bank account that earns interest. The value, V, in dollars, of Ian's account after T years can be modeled by the exponential function V(t)=5000(1.025)t.

Ian claims that the value of his bank account grows by an equal factor each year. To prove his claim, which equation must he show to be true?

a) V(t+1)−V(t)=1.025
b) V(t)−V(t+1)=1.025
c) V(t+1)V(t)=1.025
d) V(t)V(t+1)=1.025