decrease in temperature if you hike up the mountain 3000 meters is [tex]-30[/tex]° .
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)
⇒ [tex]\frac{n}{1000}(-10)[/tex]
At n = 3000 meters:
⇒ [tex]\frac{3000}{1000}(-10)[/tex]
⇒ [tex]3}(-10)[/tex]
⇒ [tex]-30[/tex]°
Therefore , decrease in temperature if you hike up the mountain 3000 meters is [tex]-30[/tex]° .
