11.0k views
5 votes
Hiking up a mountain, you notice that the air temperature drops 10°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. also you you tell me how you got your answer plzzzzz help!!!!!!​

User Jasson
by
5.8k points

1 Answer

6 votes

Answer:


t = kh. \\ t = 2.5°C

Explanation:


\\ let \: the \: temperature = t \\ let \: the \:hieght \: = h \\ then \: the \: expresssion \: is : \\ t = kh. \\k \: is \: the \: multiplicative \: constant, \:the\: \\value\: of \:k=1.0*10^-2(i.e\: 0.01) \\ if \: the \: air \: temperature \: \: drops \: 10°C \: \\ for \: every \: 1,000 \: meters. \: then \: for \\ \: it \: to \: drop \: to \: 5.0°C \: the \: meters \: will \\ \: have \: to \: double. \\ so \: for \: the \: hieght \: of \: 3000 \: the \: \\ temperature \: will \: drop \: to \: 2.5°C

User Sargas
by
6.7k points