Question

make this shorter: The general exponential model is y = initial × (growth factor)^x. A 5% decrease means the yearly factor = 1 − 0.05 = 0.95, and the initial population is 140, so y = 140(0.95)^x. (y = 140(0.5)^x would be a 50% yearly decrease, 140(0.05)^x would leave only 5% each year, and 140(1.05)^x would be 5% growth, not decay.)

Answer 1

General model: y = initial × (growth factor)^x. A 5% decrease gives factor 0.95, so y = 140(0.95)^x. (0.5 = 50% decrease; 0.05 = 5% remaining; 1.05 = 5% growth.)