State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.

The cost of admission is $66 dollars for 6 students and $77 dollars for 7 students

The independent variable in this situation is the number of students. The dependent variable is the cost of admission.

To find the rate of change, we need to determine the change in the dependent variable (cost of admission) for each unit change in the independent variable (number of students).

The cost of admission increased from $66 for 6 students to $77 for 7 students. Therefore, the change in cost is $77 - $66 = $11.

Since the independent variable increased by 1 (from 6 to 7 students), we can conclude that the rate of change is $11 per student.