Question

The function P(x) = 3,113(1.2795)^x models the population, in millions, of California since 1990. Use the function to complete the following.
The number 3.113 represents
(a) The current population, in millions, of California.
(b) The population, in millions, of California in 1990
(c) The amount, in millions, that the population increases each year

The number 1.2795 represents
(a) The population, in millions, of California in 1990.
(b) The amount, in millions, that the population increases each year.
(c) The rate the population of California is increasing each year.

Answer 1

For this case we have a function of the form:
 y = A (b) ^ x
 Where,
 A: initial amount
 b: growth rate
 x: time
 We then have the following function:
 P (x) = 3,113 (1.2795) ^ x
 Where,
 The number 3.113 represents:
 (b) The population, in millions, of California in 1990
 The number 1.2795 represents:
 (c) The rate of the population of California is increasing each year.