Name: _________________ Date: _________________
Sec. 4.1 — Exponential Growth
★ 20 Core Practice Problems · Self-Study Edition ★
GROWTH FACTOR
b > 1 → it's growing!
b > 1 → it's growing!
INITIAL AMOUNT
a = starting value (when t = 0)
a = starting value (when t = 0)
% INCREASE
(b − 1) × 100 = percent
(b − 1) × 100 = percent
COMPOUND INT.
A = P(1 + r/n)nt
A = P(1 + r/n)nt
DOMAIN
All valid x-values (input)
All valid x-values (input)
RANGE
All valid y-values (output)
All valid y-values (output)
y = a · bt | b = 1 + r | "a" = initial, "b" = growth factor, "r" = rate
📖 Worked Example — Read Before You Start
EXAMPLE PROBLEM
In 2000, a town had 3,000 deer. The population grows 8% per year.
a. Write the model: y = 3000(1.08)t
b. Initial amount = 3000, Growth factor = 1.08, % increase = 8%
c. Population in 2005 (t = 5): y = 3000(1.08)5 ≈ 4,408 deer
a. Write the model: y = 3000(1.08)t
b. Initial amount = 3000, Growth factor = 1.08, % increase = 8%
c. Population in 2005 (t = 5): y = 3000(1.08)5 ≈ 4,408 deer
✏️ Problems — Choose the Best Answer