Heat of a Campfire

[Mikayla2010]

The heat experienced by a hiker at a campfire is proportional to the amount of wood on the fire, and inversely proportional to the cube of his distance from the fire. If he is 20 ft from the fire, and someone doubles the amount of wood burning, how far from the fire would he have to be so that he feels the same heat as before?

Basically just don't know.

 

[mmm4444bot]

You need to learn the form of both direct- and inverse-proportional relationships.

H = heat experienced

V = volume of wood

d = distance from fire

To say that H is directly proportional to V and inversely proportional to d^3 means that the numbers H, V, and d are related like so:

H = V/d^3

Now, you tell me what H is (in terms of V) when the distance from the fire is 20 feet.

Next, tell me what H is (in terms of V and d) if somebody doubles the wood.

I'll continue from there.