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MArishka
2 months ago
7

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

Mathematics
2 answers:
tester [12.3K]2 months ago
8 0

Answer:

The starting fee is $2.

Step-by-step explanation:

Provided:

Stops Price (dollars)

3 6.50

7 12.50

11 18.50

It is noted that the cost of a train ticket comprises an initial fee along with a fixed fee per stop.

Let's denote the initial cost as 'x'.

Let 'y' represent the constant fee.

This leads us to create the following equation;

Price (P) = x + (y\times \textrm{Number of Stops})

According to the table:

For 3 stops, the price equals 6.50

Thus, we can formulate this equation;

x+3y =6.50 \ \ \ \ equation \ 1

Referring back to the table for;

For 7 stops, the cost amounts to 12.50

This similarly creates another equation;

x+7y =12.50 \ \ \ \ equation \ 2

By subtracting the first equation from the second, we obtain;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Inserting the value of y into the first equation results in;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

This confirms that the initial fee is $2.

babunello [11.8K]2 months ago
7 0

Response:

$2.00

Detailed breakdown:

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