jemtaveras02
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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.

===============================================

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.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.