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The price of a train ticket consists of an initial fee of \( \$ 5 \) plus a fee of \( \$ 2.75 \) per stop. Julia has \( \$ 21 \) and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket.
Let \( S \) represent the number of stops that Julia buys.
1) Which inequality describes this scenario?
Choose 1 answer:
(A) \( 5+2.75 \cdot S \leq 21 \)
(B) \( 5+2.75 \cdot S \geq 21 \)
(c) \( 5+2.75 \cdot S \leq 50 \)
(D) \( 5+2.75 \cdot S \geq 50 \)
2) What is the largest number of stops that Julia can afford?
stops
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Answer
\( S \leq \frac{16}{2.75} \approx 5.8182 \)
Step 1 ：\( 5 + 2.75 \cdot S \leq 21 \)
Step 2 ：\( 2.75 \cdot S \leq 16 \)
Step 3 ：\( S \leq \frac{16}{2.75} \approx 5.8182 \)
