What is the scale factor if the distance on a globe is 1 cm for every 516 km?

To determine the scale factor from the distance on a globe to the actual distance on Earth, we can use the relationship provided: 1 cm on the globe corresponds to 516 km in reality. The scale factor is calculated by determining how many kilometers correspond to 1 cm on the globe.

Since 1 cm represents 516 km, we multiply the distance on the globe by the number of centimeters in a standard measurement (in this case, we can think of it as how many times we must scale 1 cm to reach a full representation of a distance in kilometers). When calculating the scale, you're essentially expressing how much real distance is represented by a standard unit of measure on the model (the globe).

This means that for every 1 cm on the globe, it effectively represents 516 km. Thus, if we want to extrapolate this to a larger scale, we observe that by multiplying 516 km by 100, we get a factor that significantly increases the total distance for multiple units of centimeters.

Choosing the appropriate value involves multiplication or division based on the scale concept. When considering the value that corresponds to a larger scale representation, we find that A represents a coherent understanding of kilometers in relation to the given scale of measurement.

Therefore,