Question

1. ticket costs

cost ($)
tickets
(3, 25.5)
(8, 68)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \((x_1, y_1)=(3, 25.5)\) and \((x_2, y_2)=(8, 68)\).

Step2: Substitute values into formula

Substitute into the slope formula: \( m=\frac{68 - 25.5}{8 - 3} \).
Calculate numerator: \( 68 - 25.5 = 42.5 \).
Calculate denominator: \( 8 - 3 = 5 \).
Then \( m=\frac{42.5}{5}=8.5 \). This slope represents the cost per ticket (rate of change of cost with respect to number of tickets).

(Assuming the problem is to find the cost per ticket or slope. If another problem, adjust steps. Here, showing slope calculation as a common task with this graph.)

Answer:

The slope (cost per ticket) is \( 8.5 \) dollars per ticket.