Here, we are required to determine if the relationship between number of tickets,x, and a total cost, y, is proportional and explain how.
Yes, the total cost of purchasing tickets is directly proportional to the number of tickets purchased.
From the statements in the question;
If a movie ticket costs $7.50 per person.
And the number of tickets is given as x.
The total cost of purchasing the ticket is y.
Inference drawn from above implies that;
The total amount of money paid to purchase the x number of tickets is;
y = $7.50 * x
The expression above therefore implies that the total cost of purchasing tickets is directly proportional to the number of tickets purchased.
The explanation for how this is known is that;
As the number of tickets purchased increases, the total cost of purchasing them increases.
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