Keisha is flying a drone. She is controlling the drone so that it descends at a constant rate. After descending for 6 seconds, the drone is 434 meters high. After 11 seconds, the drone is 404 meters high.
(a)Choose the statement that best describes how the time and the altitude of the drone are related. Then fill in the blank.
A. As time increases, the altitude of the drone decreases
what is the rate of meters per second?
or
B. As time increases, the altitude of the drone increases.
what is the rate of meters per second
(b) What was the altitude of the drone when it started its descent?
(a) The correct statement is A. As time increases, the altitude of the drone decreases.
(b) To find the altitude of the drone when it started its descent, we can calculate the rate of descent per second.
First, we find the change in altitude over the time interval of 6 seconds and 11 seconds. The difference in altitude is 434 - 404 = 30 meters.
The time interval is 11 - 6 = 5 seconds.
To find the rate of descent per second, we divide the change in altitude by the time interval: 30 meters / 5 seconds = 6 meters per second.
So the altitude of the drone when it started its descent was 434 + (6 * 6) = 434 + 36 = 470 meters.