Harry started a school in the year 2000. The number of students was 500 in the beginning and is increasing at a rate of 13% each year. Use a graph to predict the number of students in the year 2020.

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 )