As the height increases, the temperature decreases
The temperature is decreasing at a rate of 12°C per kilometer
The equation in slope-intercept form relating the temperature (in) to the height is T = -12h + 28
Is the graph increasing or decreasing
From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that
- As the x values increase
- The y values decrease
This means that
As the height increases, the temperature decreases
Two points on the graph are (0, 28) and (1, 16)
So, we have
Rate = (28 - 16)/(0 - 1)
Evaluate
Rate = -12
This means that the rate at which the temperature decreasing is 12°C
A linear equation is represented as
y = mx + c
Where
m = Rate = -12
c = y when x = 0 i.e. c = 28
So, we have
y = -12x + 28
Rewrite as
T = -12h + 28
Hence, the equation is T = -12h + 28
Question
Scientists are measuring a distant planet's temperature. The graph shows the temperature (in ) versus the height (in kilometers) above the planet's surface. Temperature Height (kilometers)
Choose the statement that best describes how height and temperature are related. Then fill in the blank.
As the height increases, the temperature _____
At what rate is the temperature decreasing?
As the height increases, the temperature _______.
At what rate is the temperature increasing?
What is the temperature at 0 kilometers?
Write an equation in slope-intercept form relating the temperature (in ) to the height (in kilometers).