To solve this step-by-step, let's break down the information given and populate the drop-down menus accordingly:
1. Identifying the initial number of subscribers (f(0)):
The function given is [tex]\( f(t) = 250(1.4)^t \)[/tex], where [tex]\( t \)[/tex] represents the time in months.
To find the initial number of subscribers, we evaluate the function at [tex]\( t = 0 \)[/tex]:
[tex]\[
f(0) = 250(1.4)^0 = 250 \times 1 = 250
\][/tex]
So, the cell phone carrier had 250 subscribers before the strategy was introduced.
2. Determining the time interval for the growth factor:
The expression [tex]\( 250(1.4)^t \)[/tex] includes the term [tex]\( (1.4)^t \)[/tex], which suggests that the number of subscribers increases by a factor of 1.4 for each unit of time [tex]\( t \)[/tex] in months.
Therefore, every 1 month, the number of subscribers increases by a factor of 1.4.
Putting it all together, the correct answers for the drop-down menus should be:
- 250 subscribers
- 1 month
- 1.4
