Question

(40 POINTS)

the function f(x) = 501170(0.98)^x gives the population of a Texas city x years after 1995

1. What was the population in 1995?
2. Is the population increasing or decreasing?
3. What is the rate of population change?
4. Based on the function, what is the population predicted to be in 2020?

Answer 1

yes this is right

Explanation:

Answer 2

1. f(0) = 501170

2. decreasing

3. 2% decrease

4. 302438

Explanation:

In 1995 x=0

f(x) = 501170(0.98)^0

f(0) = 501170

The population is decreasing since we are multiplying by .98 ^x

.98 is less than 1 so it is getting smaller each time.

1 -.98 = .02

It is decreasing by 2 % each year

2020-1995 =25 years

f(25) = 501170(0.98)^25

=302438.41862

Rounding to the nearest whole number

302438