The following graph shows the approximate number (in thousands) of people who immigrated to Ireland during the period 2010–2014 (t is time in years since 2010). A graph has a horizontal t-axis with values from 0 to 4 and a vertical I-axis with values from 40 to 70. The graph contains a series of 5 points connected by line segments. The segments and the approximate points they connect are as follows.  The segments start at (0, 42),  go up and right to (1, 53),  go right to (2, 53),  go up and right to (3, 56),  and go up and right to stop at (4, 61). (a) During which 2-year interval(s) was the magnitude of the average rate of change of I(t) greatest? (Select all that apply.) 2010–20122011–20132012–2014 Interpret your answer by referring to the rate of change. During the 2-year interval(s) with the largest magnitude, immigration to Ireland was increasing at an average rate of  people per year. (b) During which 2-year interval(s) was the magnitude of the average rate of change of I(t) least? (Select all that apply.) 2010–20122011–20132012–2014 Interpret your answer by referring to the rate of change. During the 2-year interval(s) with the least magnitude, immigration to Ireland was increasing at an average rate of  people per year.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The following graph shows the approximate number (in thousands) of people who immigrated to Ireland during the period 2010–2014 (t is time in years since 2010).
A graph has a horizontal t-axis with values from 0 to 4 and a vertical I-axis with values from 40 to 70. The graph contains a series of 5 points connected by line segments. The segments and the approximate points they connect are as follows. 
  • The segments start at (0, 42), 
  • go up and right to (1, 53), 
  • go right to (2, 53), 
  • go up and right to (3, 56), 
  • and go up and right to stop at (4, 61).
(a)
During which 2-year interval(s) was the magnitude of the average rate of change of I(t) greatest? (Select all that apply.)
2010–20122011–20132012–2014
Interpret your answer by referring to the rate of change.
During the 2-year interval(s) with the largest magnitude, immigration to Ireland was increasing at an average rate of  people per year.
(b)
During which 2-year interval(s) was the magnitude of the average rate of change of I(t) least? (Select all that apply.)
2010–20122011–20132012–2014
Interpret your answer by referring to the rate of change.
During the 2-year interval(s) with the least magnitude, immigration to Ireland was increasing at an average rate of  people per year.
 
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