Answer:
So, depending on Ms. Castro's walking speed, her smartwatch battery life would be either 40 percent or 32 percent when she finished her hike.
Explanation:
To determine Ms. Castro's smartwatch battery life when she finished her hike, we need to analyze the information provided.
According to the information given, when Ms. Castro walks less than 1 mile per hour, she can travel 0.5 miles per 1 percent of battery life. However, when she walks faster than 1 mile per hour, she can only travel 0.4 miles per percent of battery life.
Step 1: Calculate the distance Ms. Castro traveled during the hike.
From the graph, we can see that the hike is 16 miles long.
Step 2: Determine the battery life used for each mile based on Ms. Castro's walking speed.
Since the hike is 16 miles long, we need to determine whether Ms. Castro walked less than 1 mile per hour or faster than 1 mile per hour.
If Ms. Castro walked less than 1 mile per hour, she could travel 0.5 miles per 1 percent of battery life. Therefore, the battery life used for each mile would be 1/0.5 = 2 percent.
If Ms. Castro walked faster than 1 mile per hour, she could travel 0.4 miles per 1 percent of battery life. Therefore, the battery life used for each mile would be 1/0.4 = 2.5 percent.
Step 3: Calculate the battery life remaining after the hike.
At the beginning of the hike, Ms. Castro's smartwatch battery life was at 72 percent.
If she walked less than 1 mile per hour, the battery life used for the entire 16-mile hike would be 16 miles * 2 percent/mile = 32 percent. Therefore, her battery life would be 72 percent - 32 percent = 40 percent when she finished her hike.
If she walked faster than 1 mile per hour, the battery life used for the entire 16-mile hike would be 16 miles * 2.5 percent/mile = 40 percent. Therefore, her battery life would be 72 percent - 40 percent = 32 percent when she finished her hike.