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

Write an inequality to determine when the cost of viewing *n* videos with Plan A is less than the cost of viewing *n* videos with Plan B. [[equation goes here]] Plan A is less expensive when [n [[< or >]] [[4 or 1]] ]



To compare the costs of viewing *n* videos with Plan A and Plan B, we need to set up the total cost equations for each plan.

- **Plan A**: The cost is $8 plus $3 per video. Therefore, the cost for *n* videos is:
  \[
  \text{Cost of Plan A} = 8 + 3n
  \]
  
- **Plan B**: The cost is $5 per video, so for *n* videos, the cost is:
  \[
  \text{Cost of Plan B} = 5n
  \]

To find when Plan A is less expensive than Plan B, we write the inequality:
\[
8 + 3n < 5n
\]

Now, let's solve the inequality:

\[
8 + 3n < 5n
\]

1. Subtract $3n$ from both sides:
   \[
   8 < 2n
   \]

2. Divide both sides by 2:
   \[
   4 < n
   \]

So, Plan A is less expensive when $n > 4$.

### Final answer:
Plan A is less expensive when $n > 4$.

Would you like further clarification on this? 

Here are 5 related questions:
1. How much would the total cost be for 5 videos with Plan A?
2. How many videos must you watch for the total cost of Plan A to equal Plan B?
3. What is the total cost for 4 videos under each plan?
4. Can you modify Plan A or Plan B to make them equal for any number of videos?
5. What if the flat rate in Plan A were increased to $10—how would that change the inequality?

**Tip:** Always check boundary values to understand the cost crossover point more clearly!

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

Write an inequality to determine when the cost of viewing *n* videos with Plan A is less than the cost of viewing *n* videos with Plan B.

Learn how to compare the costs between two video streaming plans using inequalities. This problem explains step-by-step how to solve the inequality 8 + 3n < 5n, showing when Plan A is cheaper than Plan B. Suitable for students in Grades 6-8.

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