Question

Exponential growth can anyone give the answers to me? I’m completely lost!

Answer 1

a) F(12) = 821(1.02)¹² = 1041

b) F(120) = 821(1.02)¹²⁰ = 8838

All numbers rounded

Answer 2

Q1

The exponential growth model for frogs:

• F(x) = 100(1.22)ˣ,

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(x) = 10(1.8)ˣ

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(x) = 821(1.02)ˣ,

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