scientists are measuring a distant planets temperature. the graph shows the temperature (in °c) versus the…

scientists are measuring a distant planets temperature. the graph shows the temperature (in °c) versus the height (in kilometers) above the planets surface. (a) what is the temperature at 0 kilometers? (b) choose the statement that best describes how the height and temperature are related. then fill in the blank. as the height increases, the temperature decreases. at what rate is the temperature decreasing? °c per kilometer as the height increases, the temperature increases. at what rate is the temperature increasing? °c per kilometer

scientists are measuring a distant planets temperature. the graph shows the temperature (in °c) versus the height (in kilometers) above the planets surface. (a) what is the temperature at 0 kilometers? (b) choose the statement that best describes how the height and temperature are related. then fill in the blank. as the height increases, the temperature decreases. at what rate is the temperature decreasing? °c per kilometer as the height increases, the temperature increases. at what rate is the temperature increasing? °c per kilometer

Answer

Explanation:

Step1: Find temperature at 0 km

The graph intersects the y - axis (height = 0 km) at 45°C.

Step2: Determine rate of change

The two points on the line are (0, 45) and (3, 0). The rate of change formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 45,x_2=3,y_2 = 0$. So $m=\frac{0 - 45}{3-0}=\frac{- 45}{3}=-15$. The negative sign indicates the temperature is decreasing as height increases.

Answer:

(a) 45 (b) As the height increases, the temperature decreases. 15