Question

Snowdon has a height of approximately 1100 metres above sea level.

Answer 1

Answer:

$-7\°C$

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

$y=mx+b$

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

$m=-\frac{1}{100}\frac{\°C}{m}$ ---> 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

$y=-\frac{1}{100}x+4$

For x=1,100 m

substitute in the linear equation and solve for y

$y=-\frac{1}{100}(1,100)+4$

$y=-7\°C$