AT&T offers a long-distance phone plan that charges $2.00 per month plus $0.10 per minute.

Question

Solving the inequality. I've been having a hard time solving this one. The answer in the back of the book says total usage was between 45 and 245 minutes.

 Full problem:  AT&T offers a long-distance phone plan that charges $2.00 per month plus $0.10 per minute. During the course of a year, Sophia's long-distance phone bill ranges from $6.50 to $26.50. What was the range of monthly minutes?

Answer 1

m represents the monthly minutes

 

6.50 ≤ 2.00 + 0.10m ≤ 26.50

4.50 ≤ 0.10m ≤ 24.50            subtract 2 from all parts

45 ≤ m ≤ 245                        divide all parts by 0.10