Question

Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters.

Answer 1

 decrease in temperature if you hike up the mountain 3000 meters is  $-30$° .

Step-by-step explanation:

Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:

For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in  elevation , there is decrease in n×10° of temperature i.e

Decrease in temperature = (n/1000)×(-10) i.e.

⇒  (n/1000)×(-10)

⇒ $\frac{n}{1000}(-10)$

At n = 3000 meters:

⇒ $\frac{3000}{1000}(-10)$

⇒ $3}(-10)$

⇒ $-30$°  

Therefore ,  decrease in temperature if you hike up the mountain 3000 meters is  $-30$° .