jemtaveras02
Answered

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For her phone service, Martina pays a monthly fee of $25, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $109.14.

What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.

Sagot :

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.

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