Ageologist creates a model of a mountain range in order to study erosion patterns. the elevation of the tallest mountain in the actual mountain range is 10,000 feet. the height of the tallest mountain in the model is 1 foot. the elevation of the smallest mountain in the actual mountain range is 5,000 feet. what is the height of the smallest mountain in the model?
0.5 feet
5 feet
0.2 feet
2.5 feet

Option (A)

Explanation:

Here, the given question is based on the scale-model.

a height of 10,000 feet on the actual mountain range is taken equivalent to 1 foot in the model .

so we can write it as,

10,000 feet=1 feet

1 feet=(1÷ 10,000) feet

Therefore,

5000 feet={(1÷ 10,000)×5,000} feet

5000 feet=0.5 feet

So, we can determine that a height 5000 feet on the actual mountain range is equivalent to a height of 0.5 feet on the model.

Hence, the smallest mountain on the model is 0.5 feet.