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)
3 6.50
7 12.50
11 18.50
what is the initial fee?

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

Now Subtracting equation 1 from equation 2 we get;

Substituting the value of y in equation 1 we get;

Hence Initial Fee is $2.