For this case we have as a fact that Tony pays monthly $ 27 for telephone service, in addition to $ 0.04 per minute of additional use.
If "M" represents the number of minutes used by Tony in a month we have:

If the minimum that has been charged in a month is $ 70.44 then:

Clearing "M" we have:
We subtract 27 on both sides of the inequality:

We divide by 0.04 on both sides of the inequality:

Tony uses at least 1086 minutes per month.
Answer:
Tony uses at least 1086 minutes per month.