Final answer:
To find how long it would take Amanda to drive 819 miles at the same rate, we can set up a proportion using the given distances and times.
Step-by-step explanation:
To find how long it would take Amanda to drive 819 miles at the same rate, we can set up a proportion using the distances and times. Since the rate (or speed) remains constant, we can say that 315 miles is to 5 hours as 819 miles is to x hours.
We can solve this proportion by cross-multiplying: 315 * x = 5 * 819. Simplifying this equation, we get 315x = 4095.
Dividing both sides by 315, we find that x = 13 hours. Therefore, it would take Amanda approximately 13 hours to drive 819 miles.
Learn more about Proportions in Mathematics