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 7-year-old colony having 11.1 alates on average, and a 18-year-old colony having 32.0 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 one-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 41 male alates? a.y= (Simplify your answer. Use integers or decimals for any numbers in the expression.) C

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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 7-year-old colony having 11.1 alates on average, and a
18-year-old colony having 32.0 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 one-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 41 male alates?
a.y=
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
80
F3
F4
F5
AUG
26
MacBook Air
Fo
&
F7
B
A
*
DII
FB
(
8
F9
O
F10
W
+
Trash
ver
Transcribed Image Text: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 7-year-old colony having 11.1 alates on average, and a 18-year-old colony having 32.0 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 one-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 41 male alates? a.y= (Simplify your answer. Use integers or decimals for any numbers in the expression.) 80 F3 F4 F5 AUG 26 MacBook Air Fo & F7 B A * DII FB ( 8 F9 O F10 W + Trash ver
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