(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 2021? Round your answer to the nearest dollar. (Use the model found in part (a).)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
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PART C & D ONLY
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.
t = years since 1980
C = cost in dollars
140
5
250
10
410
15
780
20
1300
22
1520
(a) Make an exponential model of C as a function oft.
OC = 87,324 x 0.527t
Oc = 191.584 x 1.864t
O C = 141.894 x 1.116
O c = 121.987 x 1.054
O c = 95.486 x 0.987t
(b) Plot the data and the exponential model.
1500
1500
P Type here to search
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HD 1080
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S PI RE
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SysRq
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Pause
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章
Insert
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6.
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Transcribed Image Text: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. t = years since 1980 C = cost in dollars 140 5 250 10 410 15 780 20 1300 22 1520 (a) Make an exponential model of C as a function oft. OC = 87,324 x 0.527t Oc = 191.584 x 1.864t O C = 141.894 x 1.116 O c = 121.987 x 1.054 O c = 95.486 x 0.987t (b) Plot the data and the exponential model. 1500 1500 P Type here to search FULL HD 1080 acer S PI RE PrtSc SysRq F8 Pause Esc 章 Insert A Scr Lk Break @ $ % & 2 3 € 6. 7 8.
JUU
t
10
15
20
25
10
15
20
25
C
1500
1500
1000
1000
500
500
t
25
10
15
20
10
15
20
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 2021? Round your answer to the nearest dollar. (Use the model found in part (a).)
Transcribed Image Text:JUU t 10 15 20 25 10 15 20 25 C 1500 1500 1000 1000 500 500 t 25 10 15 20 10 15 20 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 2021? Round your answer to the nearest dollar. (Use the model found in part (a).)
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