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 Cost ($)
5 60
15 180
25 300
In this problem, x represents the number of tickets purchased, and y represents the cost in dollars.
To find the equation that represents the relationship between the quantities, we need to consider how the cost changes as the number of tickets purchased increases.
Looking at the table, we can see that as the number of tickets purchased increases by 10 (from 5 to 15 and from 15 to 25), the cost also increases by 120 dollars (from 60 to 180 and from 180 to 300).
This means that for every 10 tickets purchased, the cost increases by 120 dollars.
We can express this relationship using the equation:
y = 12x
This equation states that the cost (y) is equal to 12 times the number of tickets purchased (x).