Answer:
To find the constant of proportionality between the cost of the game tickets and the number of tickets purchased, we can write an equation that represents the relationship between the two values. Let's call the constant of proportionality "k".
Step 1: Write an equation for Rocko's purchase:
12.50 = k * 25
Step 2: Solve for k:
k = 12.50 / 25 = 0.50
Step 3: Write an equation for Louisa's purchase:
17.50 = k * 36
Step 4: Substitute the value of k from step 2 into the equation:
17.50 = 0.50 * 36
Step 5: Check if the value of k is the same for both equations:
17.50 / 36 = 0.50
The constant of proportionality is 0.50, which means that for each additional game ticket purchased, the cost increases by $0.50.