Question

hiking up a mountain you notice that the air temperature drops 10 degrees Celsius for every thousand increase in elevation write a multiplication expression to represent the decrease in temperature if you hike up the mountain 2000 meters then valuate the expression and explain its meaning.

Answer 1

-10C°=1,000

so then 20C°=2,000

1,000x2=2,000

10x2=20C°

Answer 2

It is given that, air temperature drops 10 degrees Celsius for every thousand increase in elevation.

We will use unitary method to solve this problem.

Increase in elevation is proportional to decrease in air temperature.

⇒For 1000 increase in elevation =Air Temperature drops by 10 degrees Celsius.

⇒For 1000×2=2,000 increase in elevation =AirTemperature drops by ,10 ×2=20, degrees Celsius.

If represented in terms of Integer,it will be = -20 degrees celsius.

Meaning of the Expression

⇒With increase in height or elevation, air temperature decreases.