Omar is deciding between two different movie streaming sites to subscribe to. Plan A costs $15 per month plus $2.50 per movie watched. Plan B costs $35 per month plus $1.50 per movie watched. Let AA represent the monthly cost of Plan A if Omar watches xx per month, and let BB represent the monthly cost of Plan B if Omar watches xx movies per month. Write an equation for each situation, in terms of x, commax, and determine which plan would be cheaper if Omar plans on watching 21 movies each month.

Question

Answer
Attempt 1 out of 2

A, equalsA=
B, equalsB=

is $
cheaper than
when watching 21 movies.

Answer 1

To find the monthly costs for both Plan A and Plan B based on the number of movies Omar watches, we can set up the equations as follows:

For Plan A: \[ A = 15 + 2.50x \] where \( A \) is the total cost of Plan A and \( x \) is the number of movies watched.

For Plan B: \[ B = 35 + 1.50x \] where \( B \) is the total cost of Plan B.

Now, we need to plug in \( x = 21 \) (the number of movies Omar plans on watching) into both equations to compare the costs.

Calculating for Plan A: \[ A = 15 + 2.50(21) \] \[ A = 15 + 52.50 \] \[ A = 67.50 \]

Calculating for Plan B: \[ B = 35 + 1.50(21) \] \[ B = 35 + 31.50 \] \[ B = 66.50 \]

Now we can determine which plan is cheaper:

• Cost of Plan A: $67.50
• Cost of Plan B: $66.50

Therefore, Plan B is $1.00 cheaper than Plan A when watching 21 movies.

So, we can summarize:

• \( A = 15 + 2.50x \)
• \( B = 35 + 1.50x \)

Plan B is $1.00 cheaper than Plan A when watching 21 movies.