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In Mathematics / High School | 2014-05-18

Joseph's taxi charges $10.00 for the initial service of any drive. Then, the fee for each mile is $0.75. Which type of function is represented by this situation?

1) Linear
2) Exponential
3) Quadratic
4) Absolute value

Justify your answer.

Asked by lauragh

Answer (2)

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. ;

Answered by srangoli003 | 2024-06-18

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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Answered by srangoli003 | 2024-12-24