Recall that the Consumer Price Index (CPI) is a measure of inflation reached by comparing current prices with base prices in 1982 – 84 . However, it is a mistake to interpret a change in the CPI as the actual percent of inflation. For example, from 2013 to 2014, the CPI for candy and chewing gum rose from 138.5 to 141.2 . However, the rate of inflation for these items was only $ 141.2 − 138.5 138.5 ≈ 0.019 = 1.9 % .For Exercises 71 – 74 , use the given information to fill in the missing items in the table. Item CPI for Item in 2005 CPI for Item in 2015 Percent of Increase Milk 3.310 2.1
Recall that the Consumer Price Index (CPI) is a measure of inflation reached by comparing current prices with base prices in 1982 – 84 . However, it is a mistake to interpret a change in the CPI as the actual percent of inflation. For example, from 2013 to 2014, the CPI for candy and chewing gum rose from 138.5 to 141.2 . However, the rate of inflation for these items was only $ 141.2 − 138.5 138.5 ≈ 0.019 = 1.9 % .For Exercises 71 – 74 , use the given information to fill in the missing items in the table. Item CPI for Item in 2005 CPI for Item in 2015 Percent of Increase Milk 3.310 2.1
Solution Summary: The author explains how to fill the missing items in the given table.
Recall that the Consumer Price Index (CPI) is a measure of inflation reached by comparing current prices with base prices in
1982
–
84
. However, it is a mistake to interpret a change in the CPI as the actual percent of inflation. For example, from 2013 to 2014, the CPI for candy and chewing gum rose from
138.5
to
141.2
. However, the rate of inflation for these items was only
$
141.2
−
138.5
138.5
≈
0.019
=
1.9
%
.For Exercises
71
–
74
, use the given information to fill in the missing items in the table.
Suppose an oil spill covers a circular area and the radius, r, increases according to the graph shown below where t
represents the number of minutes since the spill was first observed.
Radius (feet)
80
70
60
50
40
30
20
10
0
r
0 10 20 30 40 50 60 70 80 90
Time (minutes)
(a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of π.
square feet
(b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a
function of the radius of the spill, r. Use a lower case k as the proportionality constant.
C(r) =
(c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to
increase from 20 feet to 60 feet?
r(60) - r(20)
Or¹(80-30)
r(80) - r(30)
r-1(80) - r−1(30)
r-1(60) - r¹(20)
6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with
corresponding ordered pairs and label the asymptote with its equation. Write the domain and range of the function
in interval notation. Make your graph big enough to see all important features.
Find the average value gave of the function g on the given interval.
gave =
g(x) = 8√√x, [8,64]
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