SOLUTION: the amount of food a person needs is proportional to their volume. if a person five feet tall needs 2500 calories, how much would the same person scaled up to a height of ten feet

Algebra ->  Conversion and Units of Measurement -> SOLUTION: the amount of food a person needs is proportional to their volume. if a person five feet tall needs 2500 calories, how much would the same person scaled up to a height of ten feet       Log On


   

Question 1175689: the amount of food a person needs is proportional to their volume. if a person five feet tall needs 2500 calories, how much would the same person scaled up to a height of ten feet need?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

If the nature will create somewhen such a person, then the proportion will work


    5%5E3%2F2500 = 10%5E3%2Fx.


It is the same as


    1%2F2500 = 8%2Fx,


which implies


    x = 8*2500 = 20,000  calories.

Solved, answered and explained.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


...5 feet tall... "SCALED UP TO" 10 feet implies that the two people are similar figures.

If the measurement of height increases by a factor of 2, the volume increases by a factor of 2^3=8.

So if the 5 foot tall person needs 2500 calories, the 10 foot tall person requires 8*2500 = 20,000 calories.