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) 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 (b) what is the temperature at 0 kilometers? °c

scientists are measuring a distant planets temperature. the graph shows the temperature (in °c) versus the height (in kilometers) above the planets surface. (a) 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 (b) what is the temperature at 0 kilometers? °c

Answer

Answer:

(a) As the height increases, the temperature decreases. 5 (b) 40

Explanation:

Step1: Identify slope formula

The rate of change (slope $m$) of a line is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two - points on the line.

Step2: Select two points

Let $(x_1,y_1)=(0,40)$ and $(x_2,y_2)=(8,0)$.

Step3: Calculate the slope

$m=\frac{0 - 40}{8 - 0}=\frac{- 40}{8}=-5$. The rate of temperature decrease is 5°C per kilometer.

Step4: Find temperature at 0 kilometers

When $x = 0$ (height = 0 kilometers), from the graph, $y = 40$ (temperature = 40°C).