b) Graphing technology was used to determine a linear and an exponential model for the data. The following regression was performed. Write the linear equation of best fit and the exponential equation of best fit. LinReg y = ax + b a = -50 b = 3000 r² = 1 r = -1 c) The following is a graph of both models. Label the axes and each graph. How long does it take before the graphs show a visible difference? 3000 4.. 2800- 2600 2400 2200- 2000- 1800- 1600 1400- 1200 1000- 800 600 400 ExpReg y = a b^x a = 3001.498529 b= 0.9827503405 r² = 0.9998385107 r= -0.9999192521 200 20 22 24 d) Dwight left the tank overnight. The next morning, after 14 hours, the pressure was 2300 psi. Which model predicts this pressure most accurately?
b) Graphing technology was used to determine a linear and an exponential model for the data. The following regression was performed. Write the linear equation of best fit and the exponential equation of best fit. LinReg y = ax + b a = -50 b = 3000 r² = 1 r = -1 c) The following is a graph of both models. Label the axes and each graph. How long does it take before the graphs show a visible difference? 3000 4.. 2800- 2600 2400 2200- 2000- 1800- 1600 1400- 1200 1000- 800 600 400 ExpReg y = a b^x a = 3001.498529 b= 0.9827503405 r² = 0.9998385107 r= -0.9999192521 200 20 22 24 d) Dwight left the tank overnight. The next morning, after 14 hours, the pressure was 2300 psi. Which model predicts this pressure most accurately?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 9P: Life Expectancy The average life expectancy in the United States has been rising steadily over the...
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Answer the following questions
Transcribed Image Text:b) Graphing technology was used to determine a linear and an exponential model for the data. The
following regression was performed. Write the linear equation of best fit and the exponential equation
of best fit.
LinReg
y = ax + b
a = -50
b = 3000
r² = 1
r = -1
to 20st
c) The following is a graph of both models. Label the axes and each graph. How long does it take before
the graphs show a visible difference?
3000
2800-
2600
----
2400
2200-
2000-
1800-
1600
-1400-
--1200
-1000-
800
600
400
200
$
ExpReg
y = a+b^x
a = 3001.498529
b= 0.9827503405
r² = 0.9998385107
r = -0.9999192521
10
12 14
16
-18
20
22
24
d) Dwight left the tank overnight. The next morning, after 14 hours, the pressure was 2300 psi. Which
model predicts this pressure most accurately?
Page 17 of 19
e) Compare the rate of change of the linear model to that of the exponential model. Which model
predicts that the pressure will decrease more slowly?
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