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, plus a flat rate of $2 per month
Write and solve an inequality to find the number of months in which Plan A will be
less expensive

Answer 1

To find out when Plan A is less expensive than Plan B, we can set up the inequality $3v + $8 < $5v + $2 and solve for v, the number of videos watched. Plan A is cheaper when the number of videos watched per month is more than 3.

Step-by-step explanation:

To determine when Plan A would be less expensive than Plan B, we need to set up an inequality based on the cost of each plan and solve for the number of videos, v. Let v represent the number of videos viewed in a month. The total monthly cost for Plan A is $3v + $8, and for Plan B, it's $5v + $2.

We want to find when Plan A is cheaper than Plan B, so we set up the inequality: $3v + $8 < $5v + $2. Solving for v, we get:

• Subtract $3v from both sides: $8 < $2v + $2
• Subtract $2 from both sides: $6 < $2v
• Divide both sides by 2: $3 < v

Thus, Plan A will be less expensive than Plan B when more than 3 videos are viewed per month.