Calculating Ant Population Growth Over 10 Days

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Homework Help Overview

The discussion revolves around calculating the growth of an ant population over a span of ten days, starting from an initial count of 65 ants. Participants are exploring how to apply a growth formula to determine the population at each day and the rate of growth.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to use a growth equation but is uncertain about the variable "h" and how to apply the time component. Other participants suggest calculating the daily increase in ant population instead of using the formula directly.

Discussion Status

Participants are actively engaging with the problem, with some offering suggestions for alternative approaches and others questioning the original poster's understanding of the formula. There is no explicit consensus on the method to be used, but various interpretations are being explored.

Contextual Notes

The original poster is seeking clarification on the formula's parameters and how they relate to the daily population counts provided. There is an emphasis on needing to show work to facilitate further assistance.

BobJones
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Determine the rate of growth in the population of ants for each of the ten days:
Day 0 - 65 ants
Day 1 - 72 ants
Day 2 - 79 ants
Day 3 - 87 ants
Day 4 - 95 ants
Day 5 - 104 ants
Day 6 - 114 ants
Day 7 - 123 ants
Day 8 - 134 ants
Day 9 - 146 ants
Day 10 - 161 antsI believe to solve this you need to use the equation P=PoR^(t/h) where:
P = population
Po = original population
R = rate of growth
t = time
h = time it takes for R to occur.

I've tried using the aforementioned formula, but can't determine what "h" would be? And surely the time would be the number of the day?
 
Last edited:
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What have you tried? You need to show some work before anyone can help you.
 
I think they just want you to calculate how many new ants were produced between Day n and Day n+1 for each of the 11 days.
 
As a quick approximation suggestion, the population about doubles in 8 days.
 
The question asks for ten different values, each corresponding to the count identifying the day number.
 

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