You are looking to join a monthly coffee delivery club. your search has been narrowed down to the two top rated clubs on the internet . five star coffee charges a $40 start up fee and then $8 per month. custom coffee company charges $25 start up fee and $12.50 per month. a) write function rules for each situation b) how do the different monthly fees affect the lines? c) in which time frame would each coffee club be the better option

5 star coffee : f(x) = 8x + 40or y = 8x + 40
custom coffee : f(x) = 12.5x + 25 or y = 12.5x + 25

the monthly fee of custom coffee, which has a monthly fee (slope) of 12.5, will have a steeper slope then the monthly fee (slope) of 5 star coffee, which has a slope of 8.

8x + 40 = 12.5x + 25
40 - 25 = 12.5x - 8x
15 = 4.5x
15/4.5 = x
3 1/3 = xso they would cost the same at 3 1/3 months

Therefore, custom coffee would be a better deal if u were a member for less then 3 1/3 monthsand 5 star coffee would be a better deal if u were there for more then 3 1/3 months