LO 4.3: I can construct an exponential model and represent it in a different form. Situation: With spring arriving, Nikki devotes time to studying the changing populations of her three bee colonies. She approximates each population twice, with the data recorded on the tables throughout the questions. But she needs your help in calculating values and comparing population. Assume the bee population grows exponentially. Hive #1 t = | Population #1 #3 Week 1. Find the exponential equation modeling the population of bees in Hive #1. Bee sure to show your work. 0. 1500 bees 2535 bees Hive #1 Equation: (a) Use the equation found and complete the table of values. Hive #1 Week #1 #2 #3 # 4 #5 #6 #7 6. # 8 t = 1 3 4 Population 1500 of bees 2535 (b) By what percentage does the population of Hive #1 increase each week? Percent growth: Hive #2 Population 2000 bees 2. Find the exponential equation modeling the population of bees in Hive #2. Bee sure to show your work. Week t = #1 0. # 4 3 3456 bees Hive #2 Equation:

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(a) Complete the table using the equation from #2. Bee sure to show your work.
Hive #2
Week
#31
# 2
#3
# 4
# 5
# 6
#7
# 8
t =
1
3
4
7
%3D
Population 2000
of bees
3456
Percent growth:
(b) What is the percent of growth per week for Hive #2?
Transcribed Image Text:(a) Complete the table using the equation from #2. Bee sure to show your work. Hive #2 Week #31 # 2 #3 # 4 # 5 # 6 #7 # 8 t = 1 3 4 7 %3D Population 2000 of bees 3456 Percent growth: (b) What is the percent of growth per week for Hive #2?
LO 4.3: I can construct an exponential model and represent it in a different form.
Situation: With spring arriving, Nikki devotes time to studying the changing populations of her
three bee colonies. She approximates each population twice, with the data recorded on the tables
throughout the questions. But she needs your help in calculating values and comparing population.
Assume the bee population grows exponentially.
Hive #1
Population
Week t
#1
# 3
1. Find the exponential equation modeling the population of bees
in Hive #1. Bee sure to show your work.
%3D
1500 bees
2535 bees
Hive #1 Equation:
(a) Use the equation found and complete the table of values.
Hive #1
# 4
3
Week
#1
#2
# 3
#5
#6
#7
#8
t 3=
0.
1
4
6.
7
Population 1500
of bees
2535
(b) By what percentage does the population of Hive #1 increase each week?
Percent growth:
Hive #2
Week t
#1
# 4
2. Find the exponential equation modeling the population of bees
in Hive #2. Bee sure to show your work.
Population
2000 bees
0.
3456 bees
Hive #2 Equation:
Transcribed Image Text:LO 4.3: I can construct an exponential model and represent it in a different form. Situation: With spring arriving, Nikki devotes time to studying the changing populations of her three bee colonies. She approximates each population twice, with the data recorded on the tables throughout the questions. But she needs your help in calculating values and comparing population. Assume the bee population grows exponentially. Hive #1 Population Week t #1 # 3 1. Find the exponential equation modeling the population of bees in Hive #1. Bee sure to show your work. %3D 1500 bees 2535 bees Hive #1 Equation: (a) Use the equation found and complete the table of values. Hive #1 # 4 3 Week #1 #2 # 3 #5 #6 #7 #8 t 3= 0. 1 4 6. 7 Population 1500 of bees 2535 (b) By what percentage does the population of Hive #1 increase each week? Percent growth: Hive #2 Week t #1 # 4 2. Find the exponential equation modeling the population of bees in Hive #2. Bee sure to show your work. Population 2000 bees 0. 3456 bees Hive #2 Equation:
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