Question

Snowdon has a height of approximately 1100 metres above the sea

assuming that the temperature decreases by 1 oc for every 100m above sea level, work out the temperature at the summit of snowdon when the sea level temperature is 4oc

Answer 1

`-7^\circ C`

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

`y+mx+b`

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

`m=-(1)/(100) (^\circ C)/(m)` ---> is negative because is a decreasing function

The y-intercept or initial value is equal to

`b=4^\circ C` ----> value of y when the value of x is equal to zero (sea level)

substitute

`y=-(1)/(100) x+4`

For x=1,100 m

substitute in the linear equation and solve for y

`y=-(1)/(100) (1,100)+4`

`x=-7^\circ C`