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22 September, 14:20

The function C (x) = 17.5x - 10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.

a. How much cost to buy 10 tickets?

b. How many tickets can you buy with $130?

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Answers (1)
  1. 22 September, 14:37
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    a. How much cost to buy 10 tickets?

    For this case what you must do is replace the value of x = 10 in the given equation.

    We have then:

    C (x) = 17.5x - 10

    C (10) = 17.5 * (10) - 10

    C (10) = 165

    Answer:

    to buy 10 tickets cost:

    $ 165

    b. How many tickets can you buy with $ 130?

    For this case we must make the substitution: C (x) = 130

    We have then:

    C (x) = 17.5x - 10

    130 = 17.5x - 10

    Clearing x we have:

    17.5x = 130 + 10

    17.5x = 140

    x = (140) / (17.5)

    x = 8

    Answer:

    You can buy 8 tickets with $ 130
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