The table below shows the average cost C, in dollars, of chemistry and physics periodicals t years after 1980. t = years since 1980 C = cost in dollars 0 140 250 5 10 410 15 780 20 1300 22 1520 (a) Make an exponential model of C as a function of t. O c = 191.584 x 1.864 Oc= 87.324 x 0.527t O c = 95.486 x 0.987* O c = 141.894 x 1.116t O c = 121.987 × 1.054*

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For this exercise, round all regression parameters to three decimal places.

The table below shows the average cost C, in dollars, of chemistry and physics periodicals t years after 1980.

(b) Plot the data and the exponential model.
1500
1000
NU
500
20
25
1500
1000
500
C
1500
1000
500
5
5
10
10
15
15
ر
20
25
1500
1000
500
5
5
10
10
15
15
20
20
25
25
(c) What was the yearly percentage growth rate of the cost of chemistry and physics periodicals? (Use the model found in part (a). Round your answer to one decimal place.)
%
(d) If this exponential trend continues, what will be the expected average cost of physics and chemistry periodicals in 2023? Round your answer to the nearest dollar. (Use the model found in part (a).)
$
Transcribed Image Text:(b) Plot the data and the exponential model. 1500 1000 NU 500 20 25 1500 1000 500 C 1500 1000 500 5 5 10 10 15 15 ر 20 25 1500 1000 500 5 5 10 10 15 15 20 20 25 25 (c) What was the yearly percentage growth rate of the cost of chemistry and physics periodicals? (Use the model found in part (a). Round your answer to one decimal place.) % (d) If this exponential trend continues, what will be the expected average cost of physics and chemistry periodicals in 2023? Round your answer to the nearest dollar. (Use the model found in part (a).) $
The table below shows the average cost C, in dollars, of chemistry and physics periodicals t years after 1980.
t = years since 1980
C = cost in dollars
0
140
250
5
10
410
15
780
20
1300
22
1520
(a) Make an exponential model of C as a function of t.
O c = 191.584 x 1.864
Oc= 87.324 x 0.527t
O c = 95.486 x 0.987*
O c = 141.894 x 1.116t
O c = 121.987 × 1.054*
Transcribed Image Text:The table below shows the average cost C, in dollars, of chemistry and physics periodicals t years after 1980. t = years since 1980 C = cost in dollars 0 140 250 5 10 410 15 780 20 1300 22 1520 (a) Make an exponential model of C as a function of t. O c = 191.584 x 1.864 Oc= 87.324 x 0.527t O c = 95.486 x 0.987* O c = 141.894 x 1.116t O c = 121.987 × 1.054*
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