68 A container of food was moved from a standard freezer to a deep freezer to preserve the food for a longer period of time. The temperature of the food was modeled by an exponential function. Can we use this model to predict the food's temperature after 20 minutes? f (x) Temperature (in Fahrenheit) = 15 -14 13 12 11 10 286 9 6 10 5 4 2 1 - 0.22e0.23x + 14 with r² = 0.90 3²0.90 0 f(x)=-0.22e0.23x +14 2 4 6 8 ● 10 Minutes ● 12 14 Yes, we can use this model because r² is close to 1, and x=20 is a safe extrapolation. No, we cannot use this model because the trend does not continue past x=18. No, we cannot use this model because x=20 is an extreme extrapolation. 16 Yes, we can use this model because the data follows an exponential trend. 20
68 A container of food was moved from a standard freezer to a deep freezer to preserve the food for a longer period of time. The temperature of the food was modeled by an exponential function. Can we use this model to predict the food's temperature after 20 minutes? f (x) Temperature (in Fahrenheit) = 15 -14 13 12 11 10 286 9 6 10 5 4 2 1 - 0.22e0.23x + 14 with r² = 0.90 3²0.90 0 f(x)=-0.22e0.23x +14 2 4 6 8 ● 10 Minutes ● 12 14 Yes, we can use this model because r² is close to 1, and x=20 is a safe extrapolation. No, we cannot use this model because the trend does not continue past x=18. No, we cannot use this model because x=20 is an extreme extrapolation. 16 Yes, we can use this model because the data follows an exponential trend. 20
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
Related questions
Question
please answer both
Transcribed Image Text:68
A container of food was moved from a standard freezer to a deep freezer to preserve the food
for a longer period of time. The temperature of the food was modeled by an exponential
function. Can we use this model to predict the food's temperature after 20 minutes?
f (x)
Temperature (in Fahrenheit)
=
15
-14
13
12
11
10
9
8
7
65
4
2
1
-0.22e0.23x + 14 with r² = 0.90
3²0.90
0
f(x)=-0.22e0.23x + 14
2
4
6
8
●
10
Minutes
●
12
14
Yes, we can use this model because r² is close to 1, and x=20 is a safe extrapolation.
No, we cannot use this model because the trend does not continue past x=18.
No, we cannot use this model because x=20 is an extreme extrapolation.
16
Yes, we can use this model because the data follows an exponential trend.
18
20
Transcribed Image Text:69
A company has limited releases of RPG (Role-Playing Game) sourcebooks each month. They
track total number of books sold each day after the release date each month. They have a
total supply of 1000 books each month, so they cannot sell more than that. They wish to
determine how many books will have sold by 13 days since release. Which of the following
statements is true?
Number of Books Sold
-2
1000
800
600
400
200
0
Coefficient of Determination = 0.98
2
4
6
Days since Release
8
10
12
This is a strong model, so the number of books sold 13 days since release is within the safe extrapolation
range.
The model is not appropriate to use beyond 12 days since release.
Even though this is a strong model, it is more appropriate to use an exponential model, so a prediction should
not be made using this model.
This is a moderate model, so the number of books sold 13 days since release is not within the safe extrapola-
tion range.
14
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage