# Maths - Ant Colony

posted by .

A colony of ants is growing so that the total number of ants present, A, after a
number of weeks, t, is shown in the table.
t 5 10 15 20 25 30
A 140 200 280 400 570 800
The food supply available is such that it can feed A ants at any given time, t (weeks),according to the table below.
t 5 10 15 20 25 30
A 440 480 520 560 600 640
At what point in time are the ant population and food supply balanced?
Fully justify your response.

• Maths - Ant Colony -

Interpolation polynomial for first set :

( x ^ 5 - 100 x ^ 4 + 4375 x ^ 3 - 65000 x ^ 2 + 827500 x + 2250000 ) / 37500

Interpolation polynomial for second set :

8 x + 400

( x ^ 5 - 100 x ^ 4 + 4375 x ^ 3 - 65000 x ^ 2 + 827500 x + 2250000 ) / 37500 = 8 x + 400

Real solution :

x = 25.91833

• Maths - Ant Colony -

Can you please explain how you solved this equation? Im confused.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Math

Pete is watching his ant farm one afternoon and observes that two ants walk away from each other at a 90 degree angle. After a few seconds, the first ant has traveled 3 inches and the second ant has traveled 4 inches. How far apart …
2. ### Maths

Its the old rabbit colony question using simultaneous linear and quadratic equations - and I need help: A colony of rabbits is growing so that the total number of rabbits (R) after number of weeks (t) is shown: on this table. t=5 R=140, …
3. ### Language Arts

I need to replace the ants in the sentence below with possessive pronouns. The sentence is: Ants are very strong for ants' size and can carry 25 times ants' weight. Should ants' size and ants' weight be replaced by the word their or …
4. ### Ant Colony (Maths)

A colony of ants is growing so that the total number of ants present, A, after a number of weeks, t, is shown in the table. t 5 10 15 20 25 30 A 140 200 280 400 570 800 The food supply available is such that it can feed A ants at any …
5. ### Algebra 1

Sam collects insects. However, he only collects ants and beetles. One night while collecting insects for his collection, Sam had an unproductive hunt. The number of ants plus twice the number of beetles was only eight. The difference …
6. ### senior problem solving

a colony of ants doubles every 20 days. if the colony has 350 ants today, how many are/were present in 50 days?
7. ### please help

Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a certain time if the number of ants was changing exponentially?
8. ### Language Arts

Underline the pronoun that correctly completes each sentence: 1. Ants use (theirs, their) antennae for touch and smell. Underline their 2. That nest under the tree is (their, theirs) Underline theirs 3. An ant has two stomachs in (its, …
9. ### Math

7) A population of ants is growing at a rate of 8% a year. If there are 160 ants in the initial population, find the number of ants after 6 years.
10. ### Math

a family of 100 ants invades your home. if its population increases at a rate of 20% per week, in how many weeks will there be 200 ants?

More Similar Questions