(3) Vinh pays a convenience fee when he reserves movie tickets on his cell phone app. The app shows him the total cost of his purchase for different numbers of tickets. a. What is the equation that models this linear function? Show your work.

To create a linear function that models Vinh's total cost for reserving movie tickets, we need to identify the components of the cost structure. Typically, the total cost can be expressed as: \[ \text{Total Cost} = \text{(Number of Tickets)} \times \text{(Price per Ticket)} + \text{Convenience Fee} \] Let's define the variables: - Let \( x \) be the number of tickets Vinh buys. - Let \( p \) be the price per ticket. - Let \( f \) be the convenience fee. The equation can then be expressed as: \[ C(x) = p \cdot x + f \] Where: - \( C(x) \) is the total cost for \( x \) tickets. - \( p \) is the price of each ticket. - \( f \) is the convenience fee. ### Example If we assume: - The price per ticket \( p = 10 \) dollars. - The convenience fee \( f = 2 \) dollars. Then the equation would be: \[ C(x) = 10x + 2 \] ### Conclusion To summarize, the equation that models the total cost of Vinh's movie ticket purchase is: \[ C(x) = p \cdot x + f \] You would need the specific values for \( p \) and \( f \) to complete the equation. If you have those values, you can substitute them into the equation to get the specific model for Vinh's situation.