- #1

ducmod

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## Homework Statement

Hello!

Please, take a look at the screeshot with a problem description.

## Homework Equations

I am trying to solve this, but I seem to have a wrong understanding of the problem.

## The Attempt at a Solution

It is said that a company charges 2.50 for the first 1/5 of a mile; therefore, depending on how many miles a passenger has ridden, it should be 2.50 x m for every mile (every first fifth of every mile ), where m = miles.

Than, it is said that every additional 1/5 costs 0.45. This means that 0.45 x m x n, where m = miles and n = number of fifths in each mile; or it can be 0.45 x n, where n = all fifth of all miles during the ride (the last mile might not be complete, thus it will not contain 4/5 as all full miles would).

The answer in the textbook is

F(m) = 2:25m+2:05 The slope 2:25 means it costs an additional $2:25 for each mile beyond

the rst 0.2 miles. F(0) = 2:05, so according to the model, it would cost $2:05 for a trip of 0

miles.

How 2.25 has been computed? Why is there 2.05 (which I assume is 2.50 - 0.45)?

Thank you very much!