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)

1 answer

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.