Question

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? □°c (b) choose the statement that best describes how the height and temperature are related. then fill in the blank. o as the height increases, the temperature decreases. at what rate is the temperature decreasing? □°c per kilometer o as the height increases, the temperature increases. at what rate is the temperature increasing? □°c per kilometer

Explanation:

Step1: Find the temperature at 0 kilometers

Locate the point on the graph where height = 0 km. Read the corresponding temperature value on the y - axis.

Step2: Determine the rate of change

To find the rate of change of temperature with respect to height, calculate the slope of the line. The slope formula is $m=\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in temperature and $\Delta x$ is the change in height.

Step3: Analyze the relationship

Observe the direction of the line on the graph. If the line is going up from left - to - right, temperature increases with height. If it is going down, temperature decreases with height.

Answer:

(a) Read the y - value at x = 0 on the graph for the temperature at 0 kilometers.
(b) Calculate the slope of the line on the graph to find the rate (°C per kilometer).
(c) If the line on the graph has a positive slope: As the height increases, the temperature increases. If it has a negative slope: As the height increases, the temperature decreases.