Question

State whether the function (x) = 150 (1.09)x is growing or decaying and find the rate.

Answer 1

It is growing at a rate of 9%.

The exponential equation is in the form

f(x) = a*(1+r)ˣ, where a is the initial value, r is the growth rate written as a decimal number, and x is the number of time periods.  1.09 is in the place of 1+r; this means r = 0.09 or 9%.  Since we have a number greater than 1, it is increasing.