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 ​$39 for three children and ​$104 for eight children.

The independent variable in this situation is the number of children.

The dependent variable is the cost of admission.
To find the rate of change, we divide the change in the dependent variable by the change in the independent variable.

Change in the cost of admission = $104 - $39 = $65
Change in the number of children = 8 - 3 = 5

Rate of change = Change in the cost of admission / Change in the number of children
= $65 / 5
= $13

Therefore, the rate of change for this situation is $13.