Acollege with a graduating class of 4000 students in the year 2008 predicts that its graduating class
will grow 5% per year. write an exponential function to model the number of students y in the graduating class t years
after 2008.

Step-by-step explanation:

The graduating class grows by 5% each year, this means after 1 year the number of students graduating will be 105% of 4000, or

And after 2 years it will be

and so on. Thus, after years the number of students will be

An exponential function to model the number of students y in the graduating class t years  after 2008 is y = 4000(1.05)^t

The standard exponential function is expressed as:

y = ab^x

If a college with a graduating class of 4000 students in the year 2008 predicts that its graduating class  will grow 5% per year, hence the required exponential equation will be:

y = 4000(1.05)^t

Learn more on exponential function here: link

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step-by-step explanation: