400000 * (1 + 0.32)^t
= 400000 * 1.32^t
Equations for exponential growth are of the form
y = a(1+r)ˣ, where a represents the initial amount, r represents the percent of growth per year and x represents the amount of time.
In this case, the site currently has 400,000 members; this is our value for a.
The growth is expected to be 32% per year; 32% = 32/100 = 0.32; this is r.
We are using t for time.
This gives us
C. A = 1.023 and B = 12
We are given ,
The expression representing the number of active members after t years is,
So, the expression showing the number of active members monthly;y is,
Now, the monthly growth rate is modeled by the expression .
On comparing the expression, we get that,
Thus, option C is correct.