Question

In 1995 the town of Springdale had a population of 2,378. Over the next 20 years the town's population decreased by 12.5%. What was the population of the town in 2015?

Answer 1

Answer: 165

Step-by-step explanation:

Exponential equation for decay :$A= P(1-r)^t$ , where A is the value after t year, P = initial value.

As per given ,

P= 2378

t= 20 years

r = 12.5% = 0.125

Now ,

$A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165$

Hence, the population of the town in 2015 = 165