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The Topology Taxi Company charges 2.00 for the first quarter of a mile and 0.55 for each additional quarter of a mile. Find a linear function which models the taxi fare F

as a function of the number of miles driven, m.

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Answer:

ez!

Explanation:

To find a linear function that models the taxi fare F as a function of the number of miles driven, m, we need to determine the equation in the form of F(m) = mx + b, where m represents the rate per mile and b represents the initial fee.

Given that the first quarter of a mile costs $2.00 and each additional quarter of a mile costs $0.55, we can start by determining the rate per mile, m. Since each quarter of a mile costs $0.55, this means that each mile would cost 4 times that amount: $0.55 * 4 = $2.20.

Therefore, the linear function that models the taxi fare F as a function of the number of miles driven, m, is:

F(m) = 2.20m + 2.00

So for any given number of miles driven, plugging it into the equation will give you the taxi fare.

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