A country’s population in 1991 Was 211 million in 1998 it was 215 million estimate the population in 2012 using the exponential growth formula

The population in 2012 is estimated in approximately 223 million people

Step-by-step explanation:

Exponential Growth

The formula for exponential growth of a variable P at the growth rate r, as time t goes on in discrete intervals, or at integer times 0, 1, 2, 3, ..., is :

Where Po is the value of P at time 0.

The country’s population in 1991 was 211 million, and in 1998 it was 215 million. We have two discrete times to define the equation and set the year 1991 as t=0. Thus, the year 1998 is t=7.

The preliminary equation is:

To find the value of 1+r, we use the second point (7,215):

Dividing by 211:

Solving:

Calculating:

The complete equation is:

Estimate the population in 2012 (t=21):

The population in 2012 is estimated in approximately 223 million people

(1, 5)

Step-by-step explanation:

The line of reflection is y = 1, which is a horizontal line with a y-intercept of 1. Each point must be the same distance away from this line, but on the other side of it. For example, X is 4 units away from y = 1, so X' must also be 4 units away, but on the other side. X' ends up at (1, 5).