The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75per stop

The inequality that represents this scenario is:

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is calculated using:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

Hence, the inequality that represents this scenario is:

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f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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