Caroline is sky diving. With her parachute open, she descends from 12,000 feet at a rate of 13 feet per second. What is the unit rate of change for this problem situation?
A. −12,000
B. -923.08
C. -13***
D. 12,000
A submersible can dive to a depth of 2000 feet below sea level at a rate of 245 feet per minute. How deep would the submersible be in 45 seconds?
A. 110.25 feet below sea level
B. 122.5 feet below sea level
C. 183.75 feet below sea level
D. 208.25 feet below sea level
idk this one plz check the first one
To find the unit rate of change for the first problem, we need to determine the amount of change in the given quantity per one unit of time. In this case, we want to find the rate of change for Caroline's descent, which is given as 13 feet per second.
The unit rate of change can be found by dividing the given quantity (distance) by the given unit of time. In this case, we divide the descent rate of 13 feet by 1 second:
Unit rate of change = 13 feet / 1 second
Therefore, the unit rate of change for Caroline's skydiving descent is 13.
As for the second problem, we first need to determine the rate of descent of the submersible, which is given as 245 feet per minute.
To find how deep the submersible would be in 45 seconds, we can use the unit rate of change calculated earlier (245 feet per minute) to calculate the depth.
First, we convert the given time of 45 seconds to minutes by dividing by 60:
45 seconds / 60 seconds per minute = 0.75 minutes
Then, we multiply the conversion factor (0.75 minutes) by the rate of descent (245 feet per minute):
0.75 minutes * 245 feet per minute = 183.75 feet
Therefore, the submersible would be 183.75 feet below sea level in 45 seconds.
The answer for the second problem is C. 183.75 feet below sea level.
Agree on first
x = distance traveled in 45 seconds
245/60 = x/45
Solve for x.