Question

LaTanya says that the growth factor of f(x) = 100(1.25) is 25%. What mistake did LaTanya make?

Answer 1

LaTanya confused growth factor with growth rate. The growth factor is 1.25. The growth rate is 25%.

Explanation:

In the exponential growth model,

f(x)=a(1+r)x

a is the inital amount, r is the growth rate, and (1+r) is the growth factor. Hence, the growth factor of the given function is 1.25.

Answer 2

The first error consists in the multiplication of f (x) = 100 * (1.25), the value she mentions is incorrect since it is 125.

It would be a 125% increase really.

In order for LaTanya's phrase to have no error she had to mention that it was a 25% increase over the original amount, in this way, the phrase would make sense and be valid.