Question

The price of a train ticket consists of an initial fee plus a constant fee per stop. The table compares the number of stops and the price of a ticket (in dollars). Stops Price (dollars) 333 6.506.506, point, 50 777 12.5012.5012, point, 50 111111 18.5018.5018, point, 50 What is the fee per stop?

Answer 1

Based on the task content given; the initial fee and the fee per stop is $2 and $1.5 respectively.

Equation

let

• Initial fee = x
• Fee per stop = y

x + 3y = 6.50

x + 7y = 12.50

• Subtract both equation to eliminate x

7y - 3y = 12.50 - 6.50

4y = 6

y = 6/4

y = 1.5

• Substitute y = 1.5 into

x + 3y = 6.50

x + 3(1.5) = 6.50

x + 4.5 = 6.50

x = 6.50 - 4.5

x = 2

Therefore, the initial fee and the fee per stop is $2 and $1.5 respectively.

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