At a gym, the total cost to rent a court is modeled by a linear function of the number of hours used. The graph of this function passes through the points $(2,34)$ and $(5,70)$, where $x$ is the number of hours and $y$ is the total cost in dollars. According to this model, what is the cost to rent the court for $4$ hours?

For a certain gym membership, the total monthly cost in dollars is represented by the expression $12+4n$, where $n$ is the number of fitness classes taken that month. For another membership, the total monthly cost is represented by $8+6n$. For what value of $n$ will the total monthly costs of the two memberships be equal?

A theater charges $t$ dollars for each student ticket and $5$ dollars more than that for each adult ticket. For a group visit, $18$ student tickets and $12$ adult tickets were purchased. Which expression is equivalent to the total cost, in dollars, of the tickets?

A taxi company charges a total fare that depends on the number of miles traveled. The graph of the fare shows a line passing through the points $(4,14)$ and $(10,26)$, where $x$ is the number of miles and $y$ is the total fare in dollars. Which expression represents the total fare for a ride of $m$ miles?

A school fundraiser sold only $5$-dollar and $8$-dollar raffle tickets. If every ticket sold had been a $5$-dollar ticket, the total revenue would have been $144$ dollars less than the actual revenue. If every ticket sold had been an $8$-dollar ticket, the total revenue would have been $96$ dollars more than the actual revenue. How many tickets were sold in all?