The two curves below describe the numbers of people in two countries at time t, in years. Answer parts (a) through (d) to the right. Population (in millions) 500- 400- 300- 200- 100- 01 (1.260) (3,300) (1,100) (2.200) 2 Time (in years) AT B (4,400) (3,150) Note: Graph not drawn to scale. Q Q a) Find the average rate of change of each population with respect to time t as t changes from to 4. This is often called the average growth rate. million people per year. The average growth rate of population A is (Simplify your answer.) The average growth rate of population B is million people per year. (Simplify your answer.) b) If the calculation in part (a) were the only one made, would we detect the fact that the populations were growing differently? O A. No, the unequal rates suggest similar growth patterns. OB. Yes, the unequal rates suggest different growth patterns. O C. No, the equal rates suggest similar growth patterns. O D. Yes, the equal rates suggest different growth patterns. c) Find the average rates of change of each population as t changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. Complete the table with the average rates of change (in millions). B Population 0 to 1 1 to 2 2 to 3 3 to 4 A T B d) For which population does the statement "the population grew consistently at a rate of 100 million per year" convey accurate information? Why? O A. Population B. because it initially grew slower than population A. O B. Population A, because the average rate of change each year was 100. O C. Population A, because the average growth rate for the four years was 100. O D. Population B, because the average rate of change each year was 100.
The two curves below describe the numbers of people in two countries at time t, in years. Answer parts (a) through (d) to the right. Population (in millions) 500- 400- 300- 200- 100- 01 (1.260) (3,300) (1,100) (2.200) 2 Time (in years) AT B (4,400) (3,150) Note: Graph not drawn to scale. Q Q a) Find the average rate of change of each population with respect to time t as t changes from to 4. This is often called the average growth rate. million people per year. The average growth rate of population A is (Simplify your answer.) The average growth rate of population B is million people per year. (Simplify your answer.) b) If the calculation in part (a) were the only one made, would we detect the fact that the populations were growing differently? O A. No, the unequal rates suggest similar growth patterns. OB. Yes, the unequal rates suggest different growth patterns. O C. No, the equal rates suggest similar growth patterns. O D. Yes, the equal rates suggest different growth patterns. c) Find the average rates of change of each population as t changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. Complete the table with the average rates of change (in millions). B Population 0 to 1 1 to 2 2 to 3 3 to 4 A T B d) For which population does the statement "the population grew consistently at a rate of 100 million per year" convey accurate information? Why? O A. Population B. because it initially grew slower than population A. O B. Population A, because the average rate of change each year was 100. O C. Population A, because the average growth rate for the four years was 100. O D. Population B, because the average rate of change each year was 100.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
Sd
Transcribed Image Text:The two curves below describe the numbers of people in two countries at time t, in years. Answer
parts (a) through (d) to the right.
Population (in millions)
500-
400-
300-
200-
100-
0
(1,260)
(3,300)
(1,100)
(2,200)
1 2 3
Time (in years)
A B
(4,400)
(3,150)
4
Note: Graph not drawn to scale.
Q
Q
a) Find the average rate of change of each population with respect to time t as t changes from
to 4. This is often called the average growth rate.
The average growth rate of population A is million people per year.
(Simplify your answer.)
The average growth rate of population B is million people per year.
(Simplify your answer.)
b) If the calculation in part (a) were the only one made, would we detect the fact that the
populations were growing differently?
O A. No, the unequal rates suggest similar growth patterns.
O B. Yes, the unequal rates suggest different growth patterns.
O C. No, the equal rates suggest similar growth patterns.
O D. Yes, the equal rates suggest different growth patterns.
c) Find the average rates of change of each population as t changes from 0 to 1; from 1 to 2;
from 2 to 3; from 3 to 4.
Complete the table with the average rates of change (in millions).
B
Population
0 to 1
1 to 2
2 to 3
3 to 4
A
2
d) For which population does the statement "the population grew consistently at a rate of 100
million per year" convey accurate information? Why?
O A. Population B, because it initially grew slower than population A.
OB. Population A, because the average rate of change each year was 100.
O C. Population A, because the average growth rate for the four years was 100.
O D. Population B, because the average rate of change each year was 100.
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