Answer:[tex]y = 1220(1.1)^x;\ 2377[/tex] .
Step-by-step explanation:
The general exponential growth equation is given by :-
[tex]y=A(1+r)^x[/tex]
, where A = Initial value
r= Rate of growth
x = time
Given , The number of students at a certain school is 1220 and is increasing at a rate of 10% per year.
i.e. A= 1220 , r=10% = 0.1 [In decimal]
Then, the required function would be : [tex]y=1220(1+0.10)^x=1220(1.1)^x[/tex]
At x= 7 , we get
[tex]y=1220(1.1)^7=2377.43486\approx2377[/tex]
The number of students in the school after 7 years =2377
Hence, the correct option is [tex]y = 1220(1.1)^x;\ 2377[/tex] .
