Answer:
5842 people after 2 months
Step-by-step explanation:
Given
Initial Value: 
Rate:
every 6 months
Required
Number of people using it after 2 months
The function follows an exponential model.
So, we need to first write out the function.
If Rate:
every 6 months
Then
Rate:
after 1 year

The function is represented as:

So:

For 2 months, we have:

Convert to years





X intercept is where y=0
so make y=0
4x-0=5
x=5/4
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.