Question

In: Math

The number of male alates​ (winged ants) in an ant colony has been found to be...

The number of male alates​ (winged ants) in an ant colony has been found to be approximately a linear function of the age of the​ colony, with a

66​-year-old

colony having

8.78.7

alates on​ average, and a

1818​-year-old

colony having

30.330.3

alates on average.

a.

Write the number of male alates​ (y) as a linear function of the age of the colony in years​ (t).

b.

 A

oneone​-year-old

colony typically has no alates. What does the formula found in part a​ predict?

c.

 Assuming that the linear function found in part a continues to be​ accurate, how old would a colony be expected to be before it has about

4141

male​ alates?

a.

yequals=nothing

Solutions

Expert Solution

in part b we get a negative value of male alates.This indicates that at t =11 years formation of alates has not started.The process of colony formation started after 11 years old .To fin it excat we will put in equation y=0 from this we get time t =13.72839506 years.Hence colony formation started at this age.The value which is negative we get in part b is just a point on the equation line extended.

milcah answered 1 year ago
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