Answer:
The inequality is 8 + 3 n < 5 n. Plane A is less expensive when n > 4
Step-by-step explanation:
Plan A: flat rate $8 per month and $3 per video viewed
Plan B: $5 per video viewed
The number of viewing videos is n
∵ The number of viewing videos is n
→ <em>Plan A</em>
∵ The cost per viewing is $3
∵ Cost per month is $8
∴ The cost = 8 + 3 n
→ <em>Plan B</em>
∵ The cost per viewing is $5
∴ The cost = 5 n
We need the cost of viewing n videos using Plan A is less than the
cost of viewing n videos using Plan B
→ Cost Plan A < Cost Plan B
∵ Cost Plan A is 8 + 3 n
∵ Cost Plan B is 5 n
∴ 8 + 3 n < 5 n
* The inequality is 8 + 3 n < 5 n
∵ 8 + 3 n < 5 n
Subtract 3 n from both sides
∴ 8 < 2 n
Divide both sides by 2
∴ 4 < n
∴ n > 4
* Plane A is less expensive when n > 4
The inequality is 8 + 3 n < 5 n. Plane A is less expensive when n > 4
