Part A: The system of equations to shows each person's subscribers is:
S = 100 + 8x
A = 220 + 3x
Part B: Sam and Alex will have the same number of subscribers after 24 weeks
Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal
Let the number of weeks be x
The initial number of followers that Sam has = 100
Sam gains 8 subscribers every week
Let the total number of subscribers that Sam has be S
The equation that represents Sam's total subscribers is:
S = 100 + 8x..................(1)
The initial number of followers that Alex has = 220
Alex gains 8 subscribers every week
Let the total number of Alex's subscribers be A
A = 220 + 3x....................(2)
If Sam and Alex have the same number of subscribers:
S = A
100 + 8x = 220 + 3x
8x - 3x = 220 - 100
5x = 120
x = 120/5
x = 24
Sam and Alex will have the same number of subscribers after 24 weeks
To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)
S = 100 + 8x
S = 100 + 8(24)
S = 292
Sam and Alex will have 292 subscribers when their subscriber count is equal
Learn more here: brainly.com/question/25898415
