Math Problem Statement

How do you calculate the Colony Forming Unit (CFU) based on the number of colonies, volume used, and dilution factor?

Solution

The image shows a screen displaying a Colony Forming Unit (CFU) calculation. The key values given for the calculation are:

  • Number of Colonies: 16
  • Volume used for spreading: 0.1 mL
  • Dilution factor: 10310^3

The result displayed is 1.6 × 105^5 CFU/mL. This suggests that the formula being used for CFU calculation is:

CFU/mL=Number of ColoniesVolume used×Dilution factor\text{CFU/mL} = \frac{\text{Number of Colonies}}{\text{Volume used} \times \text{Dilution factor}}

Let's calculate the CFU/mL manually to confirm:

CFU/mL=160.1mL×103=16100=1.6×105CFU/mL\text{CFU/mL} = \frac{16}{0.1 \, \text{mL} \times 10^3} = \frac{16}{100} = 1.6 \times 10^5 \, \text{CFU/mL}

The calculation appears correct!

Would you like a more detailed breakdown or have any specific questions?

Here are 5 questions to expand this information:

  1. What is the significance of CFU/mL in microbiology?
  2. How do different dilution factors affect CFU calculations?
  3. What are some common mistakes made when calculating CFUs?
  4. What are the key differences between CFU and other microbial counting methods?
  5. How can you ensure accuracy when counting colonies in a real lab setting?

Tip: Always double-check your dilution factor and the units used for volume when calculating CFUs, as small errors can lead to large discrepancies in microbial counts.

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Math Problem Analysis

Mathematical Concepts

Microbiology
Proportions
Exponents

Formulas

CFU/mL = (Number of Colonies) / (Volume used × Dilution factor)

Theorems

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Suitable Grade Level

College/University Level - Microbiology