Answer:
1.8 represents the initial number of the club members in hundreds.
Step-by-step explanation:
* Lets revise the exponential grows
- If a quantity grows by a fixed percent at regular intervals,
the pattern can be depicted by this function.
- The function of the exponential growth is:
y = a(1 + r)^x
# a = initial value (the amount before measuring growth)
# r = growth rate (most often represented as a percentage and
expressed as a decimal)
# x = number of time intervals that have passed
* Now Lets study the problem to solve it
- The club's total number of members will grow exponentially
each month
- The expression to model the number of club members, in
hundreds, after advertising for t months is
1.8(1.02)^12t
* Lets compare between this model and the function above
# a = 1.8 ⇒ initial number of members in hundreds
# r = 1.02 - 1 = 0.02 ⇒ growth rate
# x = 12t ⇒ number of time intervals
* 1.8 represents the initial number of the club members in hundreds.
