Part A
A video streaming company offers two monthly plans.
Plan A: $3 per video viewed, plus a flat rate of $8 per month
Plan B: $5 per video viewed and no additional flat rate
A. Write an inequality to determine when the cost of viewing n videos using Plan A is less than the cost of viewing n videos using Plan B.
3n+8 < 5n
To write an inequality to determine when the cost of viewing n videos using Plan A is less than the cost of viewing n videos using Plan B, we need to consider the cost of each plan.
For Plan A, the cost is calculated as $3 per video viewed, plus a flat rate of $8 per month. So, the total cost of viewing n videos using Plan A can be expressed as:
Cost of Plan A = 3n + 8
For Plan B, the cost is calculated as $5 per video viewed without any additional flat rate. So, the total cost of viewing n videos using Plan B can be expressed as:
Cost of Plan B = 5n
Since we want to find when the cost of Plan A is less than the cost of Plan B, we can write the inequality as:
3n + 8 < 5n
This inequality states that when the cost of viewing n videos using Plan A (3n + 8) is less than the cost of viewing n videos using Plan B (5n), then Plan A is a cheaper option.