Given:
Population of a colony in 2000 = 250
Population of a colony in 2004 = 400
To find:
The average rate of change.
Solution:
Let y be the population of the colony at x year.
The population of a colony grows from 250 in the year 2000 to 400 in the year 2004. So, the two points are (2000,250) and (2004,400).
Formula for slope or average rate of change is
Therefore, the average rate of change of population is 37.5.
Answer:
The distance between zoo and library is 200 feet....
Step-by-step explanation:
Look at the picture. As the figure describes,
Let H denote the position of Helicopter.
Z denote the position of Zoo.
and L denote the position of library.
Hence, we will firstly find the distance between G and zoo and then we find the distance between G and library and subtract the first distance from second to obtain the distance between zoo and library.
In ΔHGZ.
tan 60°=HG/GZ
√3=100√3/GZ
Hence, GZ=100 feet.
Similarly in ΔHGL
tan 30°=HG/GL
1/√3=100√3/GL
GL=300 feet.
Hence, the distance between zoo and library is:
GL-GZ
=300-100
=200 feet.
Hence, the distance between zoo and library is 200 feet....
