Cooper is deciding between two different movie streaming sites to subscribe to. Plan A costs $24 per month plus $0.50 per movie watched. Plan B costs $9 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Cooper watches x per month, and let B represent the monthly cost of Plan B if Cooper watches x movies per month. Write an equation for each situation, in terms of x, and determine which plan would be cheaper if Cooper plans on watching 5 movies each month.

Question

Cooper is deciding between two different movie streaming sites to subscribe to. Plan A costs $24 per month plus $0.50 per movie watched. Plan B costs $9 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Cooper watches x per month, and let B represent the monthly cost of Plan B if Cooper watches x movies per month. Write an equation for each situation, in terms of x, and determine which plan would be cheaper if Cooper plans on watching 5 movies each month.

Answer 1

For Plan A:

A = 24 + 0.50x

For Plan B:
B = 9 + 3x

To determine which plan would be cheaper if Cooper plans on watching 5 movies each month, we substitute x = 5 into the equations:

For Plan A:
A = 24 + 0.50(5)
A = 24 + 2.50
A = 26.50

For Plan B:
B = 9 + 3(5)
B = 9 + 15
B = 24

Comparing the monthly costs:
Plan A: $26.50
Plan B: $24

Therefore, Plan B would be cheaper if Cooper plans on watching 5 movies each month.