This exercise deals with data from the U.S. Bureau of the Census on populations of major cities.† These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important, because they indicate the future needs of the population for goods and services and how well the area can support the population. The third largest city in the United States is Chicago. Its population in 2011 was 2,705 (in thousands); in 2012, it was 2,715. (a) Convert this information to two ordered pairs (t, p), where t measures years since 2011 and p measures population in thousands. 2011 (t, p) = 0, 2,705 2012 (t, p) = 1, 2,715 (b) Find Δt, the change in time. Δt = yr (c) Find Δp, the change in population. Δp = thousand people (d) Find Δp/Δt, the average growth rate. Δp/Δt = thousand people/year (e) Find (Δp/Δt)/p, the relative growth rate. (Round your answer to three decimal places.
This exercise deals with data from the U.S. Bureau of the Census on populations of major cities.† These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important, because they indicate the future needs of the population for goods and services and how well the area can support the population. The third largest city in the United States is Chicago. Its population in 2011 was 2,705 (in thousands); in 2012, it was 2,715. (a) Convert this information to two ordered pairs (t, p), where t measures years since 2011 and p measures population in thousands. 2011 (t, p) = 0, 2,705 2012 (t, p) = 1, 2,715 (b) Find Δt, the change in time. Δt = yr (c) Find Δp, the change in population. Δp = thousand people (d) Find Δp/Δt, the average growth rate. Δp/Δt = thousand people/year (e) Find (Δp/Δt)/p, the relative growth rate. (Round your answer to three decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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This exercise deals with data from the U.S. Bureau of the Census on populations of major cities.† These data allow us to find how fast the population is growing and when it will reach certain levels. Such calculations are very important, because they indicate the future needs of the population for goods and services and how well the area can support the population.
The third largest city in the United States is Chicago. Its population in 2011 was 2,705 (in thousands); in 2012, it was 2,715.
(a) Convert this information to two ordered pairs
(b) Find Δt, the change in time.
(c) Find Δp, the change in population.
(d) Find
(e) Find
(t, p),
where t measures years since 2011 and p measures population in thousands.| 2011 | (t, p) | = |
0, 2,705
|
||
| 2012 | (t, p) | = |
1, 2,715
|
(b) Find Δt, the change in time.
Δt = yr
(c) Find Δp, the change in population.
Δp = thousand people
(d) Find
Δp/Δt,
the average growth rate.Δp/Δt = thousand people/year
(e) Find
(Δp/Δt)/p,
the relative growth rate. (Round your answer to three decimal places.)Expert Solution
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