Question

A population of 1,200 leopards decreases by 12% per year. How many leopards will there be in the population after 6 years? Round your answer to the nearest whole number.

A) 1,128
B) 2,369
C) 557
D) 17

Answer 1

use the exponential form
\[P(1 + r)^x\] where x is the time and r is the rate but we will change the sign after 1 to negative since it is decay
p is the initial number
\[1200(1 - 0.12)^6\]
Simplify using calculator to get 557