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. 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
On the graph, when height = 0 km (x - axis value is 0), we look at the corresponding y - axis value. The line intersects the y - axis at 45°C.
Step2: Determine rate of change
We choose two points on the line, say (0, 45) and (3, 0). The rate of change (slope) formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 45,x_2 = 3,y_2 = 0$. Then $m=\frac{0 - 45}{3-0}=\frac{- 45}{3}=-15$. The negative sign indicates that the temperature is decreasing as the height increases.
Answer:
(a) 45 (b) As the height increases, the temperature decreases. 15