Which country has a decreasing population? By what percentage us the population of that country decreasing each year?

India: $A = 1049.7 {e}^{0.015} t$ Iraq: $A = 24.7 {e}^{0.028} t$ Japan: $A = 127.2 {e}^{0.001} t$ Russia: $A = 144.5 {e}^{-} 0.004 t$

Apr 26, 2018

Russia is the only one with a decreasing population curve. It is decreasing at a rate of 0.40%

Explanation:

Russia is the only expression with a negative in the exponential term, indicating a decrease. To find the percentage decrease you can calculate the value for two different years.

A=144.5e^(−0.004t)

A_1=144.5e^(−0.004) = 143.92

A_2=144.5e^(−0.008) = 143.35

The percent change is thus:
$\frac{143.92 - 143.35}{143.92} = 0.00397$
100 xx 0.00397 = 0.40%