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8 February, 08:30

Juan recently entered into a contract for a cell phone plan. The table shows the monthly cost in dollars, f (x), if Juan sends x text messages.

What type of function is represented?

linear

quadratic

logarithmic

exponential

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Answers (1)
  1. 8 February, 11:46
    0
    A linear function is represented

    Step-by-step explanation:

    The table is:

    x f (x)

    0 10.00

    1 10.02

    2 10.04

    3 10.06

    4 10.08

    5 10.10

    If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:

    (10.02 - 10.00) / (1-0) = 0.02

    (10.04 - 10.02) / (2-1) = 0.02

    (10.06 - 10.04) / (3-2) = 0.02

    (10.08 - 10.06) / (4-3) = 0.02

    (10.10 - 10.08) / (5-4) = 0.02

    This constant result indicates that a linear function is represented.
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