1. **State the problem:** Miranda's boat dock is on the west side of Casper Point, and she is boating east to Casper Marina. The distance she travels north from her starting point is modeled by the equation $$d = 16t^2 + 66t$$, where $d$ is the distance in feet and $t$ is the time in minutes. 2. **Understand the equation:** This is a quadratic equation in terms of time $t$. It shows how far north Miranda moves as time passes. 3. **Formula and rules:** The equation is $$d = 16t^2 + 66t$$. 4. **Interpretation:** For any given time $t$, substitute $t$ into the equation to find the distance north $d$. 5. **Example calculation:** Suppose we want to find the distance after 2 minutes. $$d = 16(2)^2 + 66(2) = 16 \times 4 + 132 = 64 + 132 = 196$$ So, after 2 minutes, Miranda has traveled 196 feet north. 6. **Summary:** The distance north increases quadratically with time due to the $16t^2$ term and linearly due to the $66t$ term. This completes the explanation and example for the given problem.