E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best charges a flat rate of $25 per month and $5.95 for each pay per view. Using the given equations, how many pay per views will generate equal monthly bills from the two companies? f(x) = $4.95x + $40 g(x) = $5.95x + $25

The difference between the first company and the other is that the first charges $1 less per movie than the second , but charges $15 more than the second as well.
To awnser this problem and equal the charges in bth companies we just need to cancel out the $15 the first company charges more than the second.
As we pay more $1 each movie in the first , we would need to view 15 movies to equalize the charges from both companies :
x= 15 if we want to equalize the charges

f(x) = 4.95(15) + 40
f(x) = 74.25 + 40 = 114.25

g(x) = 5.95(15) + 25
g(x) = 89.25 + 25 = 114.25

Awnser: We would need to view 15 pay per view to equalize the bills from both companies