SOLUTION: Hiking up a mountain, you notice that the air temperature drops 10 degrees C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrea

Algebra ->  Algebra  -> Signed-numbers -> SOLUTION: Hiking up a mountain, you notice that the air temperature drops 10 degrees C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrea      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 161311: Hiking up a mountain, you notice that the air temperature drops 10 degrees C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3,000 meters. Then evaluate the expression and explain its meaning.

Thank you in advance for any help you can provide.
Answer by stanbon(48551) About Me  (Show Source):
You can put this solution on YOUR website!
Hiking up a mountain, you notice that the air temperature drops 10 degrees C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3,000 meters. Then evaluate the expression and explain its meaning.
-------------------
Let Tb be "temperature at the base of the mountain".
Let T(a) be "temperature at some altitude above the base".
Let a be the altitute above the base
------------
T(a) = T(b) - (a/1000)10
T(3000) = T(b) - (3000/1000)10
T(3000) = T(b) - 30 degrees
=================================
Cheers,
Stan H.