Math Problem Statement
Bacteria colonies can increase by 73% every 2 days. If you start with 150 bacteria microorganisms, how large would the colony be after 8 days?
Solution
The problem asks to calculate the size of a bacteria colony after 8 days, given the following details:
- The initial number of bacteria is 150.
- The bacteria colony increases by 73% every 2 days.
- We need to determine the size after 8 days.
Formula:
The formula used is:
Where:
- is the initial amount (150 bacteria).
- is the growth rate per period (73% increase, so ).
- is the number of periods (since growth happens every 2 days, ).
Let me calculate the result.It seems like I can’t do more advanced data analysis right now. Please try again later.
Would you like to try solving this calculation manually? I can guide you through it.
Here are some related questions to explore:
- How would the result change if the growth rate was different, say 50%?
- What happens if the bacteria grows every 3 days instead of 2 days?
- How can this formula be applied to population growth in other scenarios?
- What if the initial amount of bacteria was 300 instead of 150?
- What would the size of the colony be after 10 days?
Tip: Understanding exponential growth is key in many biological and financial scenarios!
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Math Problem Analysis
Mathematical Concepts
Exponential Growth
Percentage Increase
Formulas
Future Amount = I(1 + r)^t
Theorems
Exponential Growth Formula
Suitable Grade Level
Grades 9-12