Question

scientists are measuring a distant planet's temperature. The graph shows the temperature versus the height (in kilometers) above the planet's surface.

Answer 1

The temperature at height 0 kilometer is;

`40^0C`

As the height increases, the Temperature decreases.

And the temperature decreases at the rate of 10 degree Celcius per kilometer.

`10^0C\text{ per kilometer}`

Step-by-step explanation:

Given that the graph shows the Temperature versus Height above the planet.

From the graph, we can observe that the y-intercept is at;

`y=40^0C`

Therefore, the temperature at height 0 kilometer is;

`40^0C`

The slope of the graph can be calculated using the formula;

`m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`

substituting the coordinates from the graph;

`\begin{gathered} m=(0-40)/(4-0) \\ m=-(40)/(4) \\ m=-10^0C\text{ per kilometer} \end{gathered}`

Therefore, As the height increases, the Temperature decreases.

And the temperature decreases at the rate of 10 degree Celcius per kilometer.