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30 December, 07:21

When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call cost $0.45. Use an inequality to find the number of minutes one can call long distance for $6.15.

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  1. 30 December, 09:58
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    Answer: the number of minutes of long distance call that one can make is lesser than or equal to 12 minutes.

    Step-by-step explanation:

    Let x represent the number of minutes of long distance call that one makes.

    The first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call cost $0.45. This means that if x minutes of long distance call is made, the total cost would be

    2.10 + 0.45 (x - 3)

    Therefore, the inequality to find the number of minutes one can call long distance for $6.15 is expressed as

    2.10 + 0.45 (x - 3) ≤ 6.15

    2.10 + 0.45x - 1.35 ≤ 6.15

    0.75 + 0.45x ≤ 6.15

    0.45x ≤ 6.15 - 0.75

    0.45x ≤ 5.4

    x ≤ 5.4/0.45

    x ≤ 12
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