Final answer:
Without further information about the distance from the signpost to the waterfall, we're unable to answer how far the waterfall is from the nature center. In Calvin's scale map problem, we can calculate the scaled distances based on the scale factor given, which is 1/800, leading us to specific measurements on the map for different real-world distances.
Step-by-step explanation:
To answer the question regarding the distance from the nature center to the waterfall, given that Claudia walks 1/2 mile along a trail to a signpost, we first need additional information that specifies the complete distance. Unfortunately, without further information provided in the question, we cannot accurately determine the distance to the waterfall from the nature center. Normally, fraction strips could be used to visually represent distances by assigning each strip a value, like 1/2 mile, and then combining them to represent total distances. However, since we're missing crucial parts of the problem, we cannot proceed with Part A.
For Part B, an equation to represent the distance could resemble something like D = d1 + d2, where D is the total distance from the nature center to the waterfall, d1 is the distance Claudia walked, and d2 is the remaining distance from the signpost to the waterfall.
Part C cannot be completed due to the lack of information regarding the remaining distance from the signpost to the waterfall.
Scale Attributes and Calculations
Concerning Calvin's scale map problem, where the scale factor is 1/800:
The distance between Calvin's house and Frank's house on the map would be 80 meters / 800 = 0.1 meters or 10 centimeters.
The distance from Calvin's house to the park would be 40 meters / 800 = 0.05 meters or 5 centimeters.
If Calvin's house to the corner store is double the distance to Frank's house, then on the map it would be 20 centimeters because the actual distance would be 160 meters, and when scaled down it's 160 meters / 800.
The distance from Calvin's house to his Grandmother's, being halfway between his house and Frank's, would be 5 centimeters on the map, as this is half of the 10 centimeters representing the distance to Frank's house.
Understanding scale is crucial when dealing with maps as it helps to accurately scale down real-world distances to a more manageable size for a map, which allows for better interpretation of those distances in a practical manner.