Calculating Ant Population Growth Over 10 Days

In summary, the rate of growth in the population of ants for each of the ten days is approximately 7 ants per day.
  • #1
BobJones
1
0
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:
Physics news on Phys.org
  • #2
What have you tried? You need to show some work before anyone can help you.
 
  • #3
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.
 
  • #4
As a quick approximation suggestion, the population about doubles in 8 days.
 
  • #5
The question asks for ten different values, each corresponding to the count identifying the day number.
 

1. What is the definition of "rate of growth"?

The rate of growth refers to the measurement of how quickly a quantity or entity is increasing over a period of time. It is often expressed as a percentage or a ratio.

2. How is the rate of growth calculated?

The rate of growth is calculated by dividing the change in the quantity over a specific time period by the initial quantity. This result is then multiplied by 100 to get a percentage.

3. What factors affect the rate of growth?

The rate of growth can be affected by a variety of factors, such as availability of resources, environmental conditions, and genetic makeup. These factors can either promote or hinder growth.

4. How can the rate of growth be measured in different organisms?

The rate of growth can be measured in different organisms through various methods, such as tracking physical growth through measurements or observing changes in population size over time. In some cases, genetic analysis may also be used to measure growth at a molecular level.

5. How can the rate of growth be applied in practical settings?

The rate of growth has many practical applications, such as in agriculture to optimize crop growth, in economics to analyze market trends, and in medicine to monitor the growth of tumors. It can also be used to predict future growth and make informed decisions based on these predictions.

Similar threads

  • Precalculus Mathematics Homework Help
Replies
6
Views
2K
  • Precalculus Mathematics Homework Help
Replies
1
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
2K
  • Calculus and Beyond Homework Help
Replies
4
Views
2K
  • Calculus and Beyond Homework Help
Replies
14
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
  • Programming and Computer Science
2
Replies
41
Views
4K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Programming and Computer Science
Replies
2
Views
2K
  • Special and General Relativity
Replies
2
Views
2K
Back
Top