Answered


Snowdon has a height of approximately 1100 metres above sea level.
Assuming that temperature decreases by 1°C for every 100 metres above
sea level, work out the temperature at the summit of Snowdon when the
sea level temperature is 4°C.

Answer :

calculista

Answer:

[tex]-7\°C[/tex]

Step-by-step explanation:

Let

x -----> the height in meters

y ----> the temperature in Celsius degree

we know that

The linear equation in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit rate is equal to

[tex]m=-\frac{1}{100}\frac{\°C}{m}[/tex] ---> is negative because is a decreasing function

The y-intercept or initial value is equal to

[tex]b=4\°C[/tex] ----> value of y when the value of x is equal to zero (sea level)

substitute

[tex]y=-\frac{1}{100}x+4[/tex]

For x=1,100 m

substitute in the linear equation and solve for y

[tex]y=-\frac{1}{100}(1,100)+4[/tex]

[tex]y=-7\°C[/tex]

Other Questions