Answer:
The predicted number of students in the year 2020 is 5762.
Step-by-step explanation:
Given,
The initial number of students, P = 500 ( In year 2000),
Also, it is increasing at a rate of 13% each year.
So, the rate of increasing = 13 % = 0.13,
Thus, the number of students after x years since 2000,
[tex]A=P(1+r)^x[/tex]
[tex]=500(1+0.13)^x[/tex]
[tex]=500(1.13)^x[/tex]
Which is an exponential growth function,
Having y-intercept = (0,500),
And, horizontal asymptote x-axis,
By making the graph of the above function we observed that,
It is passes from the point (20, 5761.544 )
Hence, the predicted number of students in the year 2020 is 5762. ( number can not be in decimals )
