Ricardo is on vacation, doing some mountain climbing. He notices that the higher he goes up a mountain, the colder he feels. He remembers his physics teacher teaching about these types of relationships. What is the type of relationship between mountain elevation and temperature?

B. an inverse relationship

Explanation:

Here is the complete question

Ricardo is on vacation, doing some mountain climbing. He notices that the higher he goes up a mountain, the colder he feels. He remembers his physics teacher teaching about these types of relationships. What is the type of relationship between mountain elevation and temperature? A. a positive relationship B. an inverse relationship C. a neutral relationship D. a direct relationship

Solution

It is an inverse relationship because, as Ricardo's mountain elevation increases, he feels colder. So, as his mountain elevation increases, the temperature decreases.

Since one variable decreases while the other increases, it can only be an inverse relationship.

Let h be Ricardo's mountain elevation and T his temperature. So by inverse proportionality,

h ∝ 1/T

h = k/T

hT = k = constant

So, we have an inverse relationship and B is the answer.

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