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Stells [14]
2 years ago
14

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

Mathematics
2 answers:
jok3333 [9.3K]2 years ago
5 0

Answer:

a) F(12) = 821(1.02)¹² = 1041

b) F(120) = 821(1.02)¹²⁰ = 8838

All numbers rounded

PilotLPTM [1.2K]2 years ago
3 0

Answer:

Q1

<u>The exponential growth model for frogs:</u>

  • F(x) = 100(1.22)ˣ,

F- number of frogs, x- number of years, 1.22 - growth factor

<u>Calculations</u>:

  • F(5) = 100(1.22)⁵ = 270
  • a) F(10) = 100(1.22)¹⁰ = 730
  • b) F(20) = 100(1.22)²⁰ = 5335  

<em>All numbers rounded </em>

Q2

<u>The exponential growth model for bacteria:</u>

  • B(x) = 10(1.8)ˣ

B- number of bacteria, x- number of hours, 1.8 - growth factor

<u>Calculations:</u>

  • 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

<em>All numbers rounded </em>

Q3.

<u>The exponential growth model for fish:</u>

  • F(x) = 821(1.02)ˣ,

F- number of fish, x- number of months, 1.02 - growth factor

<u>Calculations:</u>

  • a) F(12) = 821(1.02)¹² = 1041
  • b) F(120) = 821(1.02)¹²⁰ = 8838

<em>All numbers rounded </em>

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