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17 July, 21:35

A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of $0.20/min beyond that time. The cost formula would be C = 20 + 0.20 (x - 60), where C is the cost measured in dollars and x is the number of calling minutes used. If you cannot have a bill greater than $60, what is the maximum number of calling minutes you can use?

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  1. 17 July, 23:29
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    Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.

    Step-by-step explanation:

    C (x) = 20 + 0.20 (x - 60)

    C (x) ≤ 60

    20 + 0.20 (x - 60) ≤ 60

    0.20 (x - 60) ≤ 60 - 20

    0.20x - 12 ≤ 40

    0.20x ≤ 40 + 12

    0.20x ≤ 52

    x ≤ 52/0.2

    x ≤ 260

    This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.
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