The function representing Joseph's taxi charges, which includes a $10.00 initial service fee plus $0.75 per mile, is a linear function. This is due to its constant rate of change and its representation as a straight line on a graph with the equation C = 10 + 0.75m. ;
Joseph's taxi charges create a linear function because the cost increases by a constant amount per mile after a flat initial fee. The cost can be expressed as C = 10 + 0.75m, where C is total cost and m is miles driven. Therefore, the correct answer is option 1: Linear.
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