Answer:
Q1
The exponential growth model for frogs:
F- number of frogs, x- number of years, 1.22 - growth factor
Calculations:
- F(5) = 100(1.22)⁵ = 270
- a) F(10) = 100(1.22)¹⁰ = 730
- b) F(20) = 100(1.22)²⁰ = 5335
All numbers rounded
Q2
The exponential growth model for bacteria:
B- number of bacteria, x- number of hours, 1.8 - growth factor
Calculations:
- a) B(5) = 10(1.8)⁵ = 189
- b) B(24) = 10(1.8)²⁴ = 13382588
- c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³
All numbers rounded
Q3.
The exponential growth model for fish:
F- number of fish, x- number of months, 1.02 - growth factor
Calculations:
- a) F(12) = 821(1.02)¹² = 1041
- b) F(120) = 821(1.02)¹²⁰ = 8838
All numbers rounded
