4. Consider the following situation: enrollment at a school is initially 322 students and
grows by 4% per year. Write an equation to represent this situation, and use it to predict
the number of students at the school in 5 years.

Respuesta :

Answer:

392 students

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

[tex]y=a(1+r)^x[/tex]

where

y is the number of students at the school

x is the number of years

r is the rate of change

a is the initial value

we have

[tex]a=322\ students\\r=4\%=4/100=0.04[/tex]

substitute

[tex]y=322(1+0.04)^x[/tex]

[tex]y=322(1.04)^x[/tex]

For x=5 years

substitute

[tex]y=322(1.04)^5=392\ students[/tex]