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 2 years agoRelated Solutions
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