Write an equation that represents the relationship between the quantities in the table. Use x for the independent variable in your equation and y for the dependent variable in your equation. Explain what x and y represent in the context of the problem.
Tickets Purchased | 5, 15, 25
Cost ($) | 60, 180, 300
The relationship between the number of tickets purchased and the cost can be represented by the equation y = 12x, where x is the number of tickets purchased and y is the cost in dollars.
In this context, x represents the independent variable, which is the number of tickets purchased. It is the variable that we can control or manipulate.
On the other hand, y represents the dependent variable, which is the cost in dollars. It is the variable that depends on the value of the independent variable. As more tickets are purchased (x increases), the cost (y) also increases proportionally based on the equation.