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

Answer:

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.

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

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;

$m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$

substituting the coordinates from the graph;

$\begin{gathered} m=\frac{0-40}{4-0} \\ m=-\frac{40}{4} \\ m=-10^0C\text{ per kilometer} \end{gathered}$

Therefore, As the height increases, the Temperature decreases.

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