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For a long distance phone call a hotel charges 0 55 for the first minute...

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Basic Math

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For a long distance phone call a hotel charges 0 55 for the first minute and 0 17 for each additional minute or fraction thereof A formula for the cost is given below where t is the time in minutes Note x greatest integer n such that n x For example 3 2 3 and 1 6 2 c t 0 55 0 17 t 1 a Use a graphing utility to graph the cost function for 0 t 5 Use the graph to complete the table below and observe the behavior of the function as t approaches 3 5 t C t 1 06 0 89 t 3 5 3 Use the graph and the table to find the following limit lim C t 1 06 3 3 2 1 06 2 5 3 4 b Use the graph to complete the table below and observe the behavior of the function as t approaches 3 2 9 1 06 3 3 5 3 1 1 06 3 6 3 5 1 06 3 7 4 1 06 4

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