Question

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.Which inequality describes this scenario?A) 5+2.75S ≤ 21B) 5+2.75S ≥ 21C) 5+2.75S ≤ 50(D) 5+2.75S ≥ 50

Answer 1

`(A)5+2.75S\leqslant21`

Step-by-step explanation:

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

Let S represent the number of stops that Julia buys.

Therefore, the price of S stops will be:

`5+2.75\cdot S`

Since Julia has $21, it means the total cost of her ticket must either be less than or equal to $21.

Therefore, the inequality which describes this scenario will be:

`5+2.75S\leqslant21`

The correct option is A.