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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

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Answer

$S \leq \frac{16}{2.75} \approx 5.8182$

Steps

Step 1 ： $5 + 2.75 \cdot S \leq 21$

Step 2 ： $2.75 \cdot S \leq 16$

Step 3 ： $S \leq \frac{16}{2.75} \approx 5.8182$

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