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GB-24-06-001 · Exponential models

A culture starts with 450 cells. The number of cells multiplies by 2 every hour. Write a formula for the number N after t hours, and find N after 4 hours.

Exponential Growth Models (y = abˣ) Application of related method — Booklet p. 52 & p. 88
Method
1) Write N = initial × (multiplier)^t
2) Substitute t into the formula and evaluate
Worked Example (GB-24-06-001)
1)
N=450×2tN=450\times2^t
2)
Substitute t = 4.
3)
7200 cells
Ans = N=450×2tN=450\times2^t; 7200 cells