Applications of Systems

Question

Chase is deciding between two different movie streaming sites to subscribe to. Plan A costs $30 per month plus $1.50 per movie watched. Plan B costs $24 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Chase watches x per month, and let B represent the monthly cost of Plan B if Chase watches x movies per month. Graph each function and determine which plan would be cheaper if Chase plans on watching 6 movies each month.

Answer 1

A=30+6(1.5) = $39, B=24+6(3) = $42

B is cheaper if she watches 6 movies per month

A= 30+1.5x, B= 24+3x

1st has slope =1.5 and y intercept =30

2nd has slope =3 and y intercept = 24