Answer: Anything that is 1202 or larger
In other words, [tex]m \ge 1202[/tex]
So we could have m = 1202, or m = 1203, or m = 1204, etc.
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Explanation:
- m = number of minutes used
- 0.07m = amount charged for those minutes used excluding the $25
- 0.07m+25 = total monthly bill now including the extra $25 fee
The monthly bill is at least $109.14, since this is the lowest amount she has been charged.
[tex]\text{monthly bill} \ge 109.14\\\\0.07m+25 \ge 109.14\\\\0.07m \ge 109.14-25\\\\0.07m \ge 84.14\\\\m \ge \frac{84.14}{0.07}\\\\m \ge 1202\\\\[/tex]
This says that the least number of minutes Martina has used is 1202 minutes.
So if m was a whole number, then m could be selected from the set {1202, 1203, 1204, ...}
Side note: 1202 minutes = 1202/60 = 20.033 hours approximately.
