Final Answer:
The equation representing the cost (p) of buying tickets (t) through the online movie ticket service is p = 8t + 2. Substituting t = 5 into the equation, the cost of 5 tickets is p = 8(5) + 2 = 42.
Step-by-step explanation:
The equation p = 8t + 2 is derived from the given information that the online movie ticket service charges $8 per ticket plus a $2 transaction fee. The variable t represents the number of tickets, and p represents the total cost. The term 8t accounts for the cost of the tickets, and the constant term 2 represents the transaction fee. To find the cost of 5 tickets, substitute t = 5 into the equation, resulting in p = 8(5) + 2 = 42.