Question

The function f(x) = 830(1.2)x represents the number of students enrolled at a university x years after it was founded. Each year, the number of students is ____ the number the year before.

Answer 1

1.2 times or 20%

Explanation:

Given the function ; f(x) = 830(1.2)^x

This is an exponential function ;

Recall the general form of an exponential function ; f(x) = ab^x ;

Where a = Initial value ; b = growth rate

Hence, b = 1.2

Also, b = 1 + r

1.2 = 1 + r

r = 1.2 - 1

r = 0.2

r = 0.2 * 100% = 20%