well, the plans charge
A: 8 + 3n
B: 5n
so, what's next?
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.
A: 8 + 3n
B: 5n
so, what's next?
Let's denote the cost of viewing n videos using Plan A as A(n) and the cost of viewing n videos using Plan B as B(n).
For Plan A, the cost per video viewed is $3. Therefore, the cost of viewing n videos using Plan A is 3n. Additionally, there is a flat rate of $8 per month, regardless of the number of videos viewed. Therefore, the total cost of viewing n videos using Plan A is A(n) = 3n + 8.
For Plan B, the cost per video viewed is $5. Therefore, the cost of viewing n videos using Plan B is 5n. Since there is no additional flat rate, the total cost of viewing n videos using Plan B is B(n) = 5n.
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 can set up the following inequality:
A(n) < B(n)
3n + 8 < 5n
Simplifying the inequality:
8 < 2n
Dividing both sides by 2:
4 < n
Therefore, the 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 is n > 4.