Question

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. Plan A is less expensive when:

A. n > 4
B. n < 1
C. n < 4
D. n > 1

Answer 1

Plan A is less expensive than Plan B when n > 4.

Step-by-step explanation:

To determine when Plan A is less expensive than Plan B, we need to compare the costs of both plans based on the number of videos viewed. Plan A charges a flat rate of $8 per month, plus $3 per video viewed. Plan B, on the other hand, charges $5 per video viewed with no additional flat rate. Let's assume 'n' represents the number of videos viewed in a month.

For Plan A, the cost is $8 + $3n. For Plan B, the cost is $5n. Plan A will be less expensive than Plan B when the cost of Plan A, $8 + $3n, is less than the cost of Plan B, $5n. So, we can set up the inequality: 8 + 3n < 5n.

Simplifying the inequality: 8 < 2n. Dividing both sides by 2, we get 4 < n, which can be written as n > 4. Therefore, the correct answer is A. n > 4.