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-   -   Solving using inequalities (https://www.askmehelpdesk.com/showthread.php?t=133019)

  • Sep 23, 2007, 09:44 PM
    blanca3
    Solving using inequalities
    I have Algebra 2 homework and I don't understand one of the questions.
    May someone help me?

    Here's the problem:
    The usual toll charge to use the Bingham tunnel is 50 cents. If you purchase a special sticker for $5.50, the toll is only 35 cents. At least how many trips through the tunnel are needed before the sticker costs less than paying for each trip separately?
  • Sep 24, 2007, 08:10 AM
    ebaines
    You can set up a simple algebra equation, and use normal algebra rules to manipulate, like this:

    Let T = number of trips through the toll.
    Cost without tag = $0.50*T
    Cost with tag = $5.50 + $0.35*T

    For the cost of the toll using the tag to be less than the cost withot the tag, set up and solve:

    $5.50 + $0.35*T < $0.50*T

    What you'll find is that the solution for T is not a whole number, so you will have to round up to the next whole number.

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