Question

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 1

`-7\°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)(\°C)/(m)` ---> is negative because is a decreasing function

The y-intercept or initial value is equal to

`b=4\°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`

`y=-7\°C`