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The price of a train ticket consists of an initial fee of \$5$5dollar sign, 5 plus a fee of \$2.75$2.75dollar sign, 2, point, 75 per stop. julia has \$21$21dollar sign, 21 and would like to travel 505050 kilometers. she wants to know the largest number of stops she can afford to buy on a ticket. let sss represent the number of stops that julia buys. 1) which inequality describes this scenario?

Sagot :

An inequality that represents given scenario is 5 + 2.75x ≤ 21

For given question,

The $21 means that there is a limit to the number of stops she can take using the train.

From given information, 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

5 + 2.75x ≤ 21

Therefore, an inequality that represents given scenario is 5 + 2.75x ≤ 21

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