find the rate of change represented in each situation
The graph shows the altitude y , in meters, of a weather balloon x seconds after launch
(2,5), (4,20)
To find the rate of change represented in each situation, we need to calculate the slope of the line connecting the two given points.
The slope is calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (2,5) and (4,20), we can plug in the values into the formula:
m = (20 - 5) / (4 - 2)
m = 15 / 2
m = 7.5
Therefore, the rate of change represented in this situation is 7.5 meters per second.
To find the rate of change represented in each situation, we can use the formula for the rate of change or slope of a line:
Rate of change = (change in y) / (change in x)
Let's use the given points (2,5) and (4,20) to calculate the rate of change.
Change in y = 20 - 5 = 15
Change in x = 4 - 2 = 2
Rate of change = 15 / 2
Simplifying this, we get:
Rate of change = 7.5
Therefore, the rate of change represented in this situation is 7.5 meters per second.
To find the rate of change represented in each situation, we need to calculate the slope of the line connecting the two points given (2,5) and (4,20).
The slope of a line is given by the formula:
slope = (change in y) / (change in x)
Let's calculate the change in y and change in x:
(change in y) = 20 - 5 = 15
(change in x) = 4 - 2 = 2
Now, we can substitute the values into the slope formula:
slope = (15) / (2)
Therefore, the rate of change represented by the given points is 15/2, or 7.5.
So, the rate of change of altitude of the weather balloon after launch is 7.5 meters per second.