SAT Question 76f29fa5: Linear Equations In One Variable answer and explanation with Desmos solution

Choice C is correct. It’s given that the cost to rent a commercial fishing boat is $$950$ for the first $2$ hours and an additional $$50$ per hour for each hour after the first $2$ hours. It’s also given that $t$ represents the total number of hours and $t>2$. Therefore, the number of additional hours after the first $2$ hours can be represented with the expression $t-2$. The cost for these additional hours is $$50$ per hour, so the cost for the additional hours can be represented by the expression $50\left(t-2\right)$. The total cost can be calculated by adding the cost for the first $2$ hours to the cost for the additional hours and can be represented by the expression $950+50\left(t-2\right)$. It’s also given that the total cost to rent the commercial fishing boat from the company for $t$ hours is $$1,100$. Thus, the equation that represents this situation is $950+50\left(t-2\right)=1,100$.