Ian has a bank account that earns interest. The value,

V

V

, in dollars, of Ian's account after

t

t

years can be modeled by the exponential function

V(t)=5000(1.025

)

t

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?

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+1) / V(t) =1.025

c) V(t) − V(t+1) =1.025

d) V(t) / V(t+1) =1.025

The correct option is A,V(t+1) − V(t) =1.025

Step-by-step explanation:

Judging from the fact that the bank account grows by an equal factor each year,that effectively means that when any year's balance is chosen and the previous's year balance is deducted from it,it should be 1.025

To further illustrate my point,V(t) refers to the balance in a year while V(t+1) is the year that follows,hence when earlier year balance is subtracted from succeeding year balance ,the result is 1.025,in  a nutshell ,option A better conveys this point.

16 is the absolute value

step-by-step explanation: