answer=To find the constant of proportionality, we need to determine the rate at which the total cost changes with respect to the number of tickets purchased.
We can use the information given in the table to find the slope of the line that represents this relationship.
Using the points (8, 2.00) and (12, 3.00), we can calculate the slope as:
slope = (3.00 - 2.00) / (12 - 8) = 0.25
Using the points (12, 3.00) and (20, 5.00), we get the same result:
slope = (5.00 - 3.00) / (20 - 12) = 0.25
Using the points (20, 5.00) and (30, 7.50), we get:
slope = (7.50 - 5.00) / (30 - 20) = 0.25
Using the points (30, 7.50) and (50, 12.50), we get:
slope = (12.50 - 7.50) / (50 - 30) = 0.25
Since the slope is the same for all pairs of points in the table, we can conclude that the relationship between total cost and number of tickets purchased is a linear relationship, and the constant of proportionality (the rate of change of y with respect to x) is:
0.25 dollars/ticket then the answer is B