SAT Question 5ab9903f: Linear Equations In One Variable answer and explanation with Desmos solution

Choice C is correct. It’s given that the cost to rent a bus is $$950$ for the first $3$ hours and an additional $$50$ per hour for each hour after the first $3$ hours. It’s also given that $t$ represents the total number of hours and $t>3$. Therefore, the number of additional hours after the first $3$ hours can be represented by the expression $t-3$. The cost for these additional hours is $$50$ per hour, so the cost for the additional hours can be represented by the expression $50(t-3)$. The total cost can be calculated by adding the cost for the first $3$ hours to the cost for the additional hours and can be represented by the expression $950+50(t-3)$. It’s also given that the total cost to rent the bus from the company for $t$ hours is $$1,150$. Thus, the equation that represents this situation is $950+50(t-3)=1,150$.