Question

A video streaming company offers two monthly plans

Plan A: 83 per video viewed, plus a flat rate of s8 per month
Plan B: $5 per video viewed and no additional flat rate
Part 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
Part B Plan A is less expensive when

Answer 1

The inequality 3n + 8 < 5n determines when Plan A is cheaper than Plan B. Simplifying it to n > 4, we find Plan A is less expensive when a customer watches more than 4 videos per month.

Step-by-step explanation:

Part A: Writing 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, we need to set up an inequality. Plan A costs $3 per video plus a flat rate of $8, so the total cost is 3n + 8. Plan B only has a cost of $5 per video with no flat rate, resulting in a total cost of 5n.

So, the inequality we need to solve is:

3n + 8 < 5n

Part B: When Plan A is Less Expensive

Plan A is less expensive when the number of videos watched satisfies the inequality 3n + 8 < 5n. Simplifying, we get:

8 < 2n
or

n > 4

This means that Plan A is less expensive when a customer watches more than 4 videos per month.