A charges $9.95 per month for the first 10 hours of use and $1.69 per hour for all those over 10. Provider B charges a flat fee of $19.95.

Given:

A = charges 9.95 per month for the first 10 hours and 1.69 per hour for all those over 10 hours.

B = charges a flat fee of 19.95

A = 9.95 + 1.69 (x-10) where x is the total number of hours used.

B = 19.95

A = B

9.95 + 1.69 (x - 10) = 19.95

1.69x - 16.9 = 19.95 - 9.95

1.69x = 10 + 16.9

1.69x = 26.9

x = 26.9/1.69

x = 15.92 hours

If usage does not go over 10 hours, it is cheaper to use A.

If usage is between 15-16 hours, A or B is acceptable. They cost almost the same.

If usage is beyond 16 hours, it is cheaper to use B.