Mathematics, 24.11.2020 17:50 1Slowbow
ALGEBRA 1 | UNIT #11 | 11.6.4 PRACTICE: MODELING : LINEAR, QUADRATIC, & EXPONENTIAL FUNCTIONS
National Park Animal Populations
You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:
Yellowstone
x Year
y1 Population 1, Grizzly Bears
(per square mile)
y2 Population 2, Pocket Gophers
(per square mile)
y3 Population 3, Osprey
(per square mile)
x y1 y2 y3
0 4.0 4.0 4.0
1 4.5 4.5 5.8
2 5.0 5.3 7.2
3 5.5 6.4 8.2
4 6.0 8.1 8.8
5 6.5 10.6 9.0
8 8.0 28.6 7.2
10 9.0 60.7 4.0
Everglades
x Year
y1 Population 1, American Alligator
(per square mile)
y2 Population 2, Marsh Rabbit
(per square mile)
y3 Population 3, Florida Panther
(per square mile)
x y1 y2 y3
0 6.0 6.0 6.0
1 6.5 6.5 7.8
2 7.0 7.3 9.0
3 7.5 8.4 9.8
4 8.0 10.1 10.0
5 8.5 12.6 9.8
8 10.0 30.6 6.0
10 11.0 62.7 1.0
Make Sense of the Problem
What do you want to find out?
Analyze the Data
Population 1 (y1): (Write the animal species' name.)
Answer the following questions about the growth function of population 1:
1. Is population 1 increasing or decreasing? (0.5 point)
2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)
3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)
4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)
Population 2 (y2): (Write the animal species' name.)
Answer the following questions about the growth function of population 2:
5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)
6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)
7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)
8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)
Population 3 (y3): (Write the animal species' name.)
Answer the following questions about the growth function of population 3:
9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)
10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)
11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)
12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)
13. Use the following graphs to verify your work on this question.
A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)
B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)
C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)
Answers: 2
Mathematics, 21.06.2019 12:30
The total number of photos on hannahβs camera is a linear function of how long she was in rome. she already had 44 photos on her camera when she arrived. then she took 24 photos each day for 6 days. what is the rate of change of the linear function that represents this
Answers: 1
Mathematics, 21.06.2019 23:10
Which graph represents the linear function below? y-4= (4/3)(x-2)
Answers: 2
Mathematics, 22.06.2019 01:40
Which of these statements is correct? the system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution. the system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions. the system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution. the system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.
Answers: 2
Mathematics, 22.06.2019 02:00
87.5% , 100% , 83.33 , 93.33% , 100% , 82.5% are all the academic points i've gotten this quarter. what's my final grade?
Answers: 1
ALGEBRA 1 | UNIT #11 | 11.6.4 PRACTICE: MODELING : LINEAR, QUADRATIC, & EXPONENTIAL FUNCTIONS
Computers and Technology, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
History, 18.10.2020 07:01
English, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01
History, 18.10.2020 07:01
Mathematics, 18.10.2020 07:01