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? °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
Answer
Explanation:
Step1: Find temperature at 0 km
Look at the graph where height = 0 km. The temperature - axis value at this point is the answer. The line intersects the temperature - axis at 40°C when height = 0 km.
Step2: Determine rate of change
The slope of the line gives the rate of change of temperature with respect to height. The line is decreasing. We can use two points on the line, say (0, 40) and (4, 0). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 40,x_2 = 4,y_2 = 0$. Then $m=\frac{0 - 40}{4-0}=\frac{- 40}{4}=-10$. The negative sign indicates a decrease.
Answer:
(a) 40 (b) As the height increases, the temperature decreases. 10