(a) Explanation Given Information: The provided table represents the number of books purchased from the website OHaganBooks.com in 5 months is as follows, Month t 1 2 3 4 5 Purchases (books) 1 , 330 520 520 1 , 340 2 , 980 Consider the table that represents the number of books purchased from the website OHaganBooks.com in 5 months, Month t 1 2 3 4 5 Purchases (books) 1 , 330 520 520 1 , 340 2 , 980 To determine the appropriate model, first compute the table for all the options with Ti-83 calculator as, Step 1: Press ON key. Step 2. Press Y = key and then enter the function as shown below, Y 1 = 3000 / ( 1 + 12 ∗ 2 ^ ( − X ) ) Y 2 =2000/ ( 4.2 − 0.7 ∗ X ) Y 3 = 300 ∗ 1.6 ^ X Y 4 = 100 ∗ ( 4.1 ∗ X ^ 2 − 20.4 * X + 29.5 ) Step 3 (b) To determine The model that predict that the number of books purchased are rising, falling or leveling off from the following options, (a) n ( t ) = 3 , 000 1 + 12 ( 2 − t ) (b) n ( t ) = 2 , 000 4.2 − 0.7 t (c) n ( t ) = 300 ( 1.6 t ) (d) n ( t ) = 100 ( 4.1 t 2 − 20.4 t + 29.5 )

7th Edition

ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 1, Problem 32RE

(a)

To determine

The appropriate model to fit the data points from the following options.

(a) n(t)=3,0001+12(2−t)

(b) n(t)=2,0004.2−0.7t

(c) n(t)=300(1.6t)

(d) n(t)=100(4.1t2−20.4t+29.5)

(b)

To determine

The model that predict that the number of books purchased are rising, falling or leveling off from the following options,

(a) n(t)=3,0001+12(2−t)

(b) n(t)=2,0004.2−0.7t

(c) n(t)=300(1.6t)

(d) n(t)=100(4.1t2−20.4t+29.5)

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Chapter 1, Problem 31RE

Chapter 1, Problem 33RE

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Proof: LN⎯⎯⎯⎯⎯LN¯ divides quadrilateral KLMN into two triangles. The sum of the angle measures in each triangle is ˚, so the sum of the angle measures for both triangles is ˚. So, m∠K+m∠L+m∠M+m∠N=m∠K+m∠L+m∠M+m∠N=˚. Because ∠K≅∠M∠K≅∠M and ∠N≅∠L, m∠K=m∠M∠N≅∠L, m∠K=m∠M and m∠N=m∠Lm∠N=m∠L by the definition of congruence. By the Substitution Property of Equality, m∠K+m∠L+m∠K+m∠L=m∠K+m∠L+m∠K+m∠L=°,°, so (m∠K)+ m∠K+ (m∠L)= m∠L= ˚. Dividing each side by gives m∠K+m∠L=m∠K+m∠L= °.°. The consecutive angles are supplementary, so KN⎯⎯⎯⎯⎯⎯∥LM⎯⎯⎯⎯⎯⎯KN¯∥LM¯ by the Converse of the Consecutive Interior Angles Theorem. Likewise, (m∠K)+m∠K+ (m∠N)=m∠N= ˚, or m∠K+m∠N=m∠K+m∠N= ˚. So these consecutive angles are supplementary and KL⎯⎯⎯⎯⎯∥NM⎯⎯⎯⎯⎯⎯KL¯∥NM¯ by the Converse of the Consecutive Interior Angles Theorem. Opposite sides are parallel, so quadrilateral KLMN is a parallelogram.

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Chapter 1 Solutions

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The appropriate model to fit the data points from the following options. (a) n ( t ) = 3 , 000 1 + 12 ( 2 − t ) (b) n ( t ) = 2 , 000 4.2 − 0.7 t (c) n ( t ) = 300 ( 1.6 t ) (d) n ( t ) = 100 ( 4.1 t 2 − 20.4 t + 29.5 )

Solution Summary: The author explains how to determine the appropriate model to fit the data points from the following options.

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The appropriate model to fit the data points from the following options.

(a) n(t)=3,0001+12(2−t)

(b) n(t)=2,0004.2−0.7t

(c) n(t)=300(1.6t)

(d) n(t)=100(4.1t2−20.4t+29.5)

The model that predict that the number of books purchased are rising, falling or leveling off from the following options,

(a) n(t)=3,0001+12(2−t)

(b) n(t)=2,0004.2−0.7t

(c) n(t)=300(1.6t)

(d) n(t)=100(4.1t2−20.4t+29.5)

Want to see the full answer?

Chapter 1 Solutions

The appropriate model to fit the data points from the following options. (a) n ( t ) = 3 , 000 1 + 12 ( 2 − t ) (b) n ( t ) = 2 , 000 4.2 − 0.7 t (c) n ( t ) = 300 ( 1.6 t ) (d) n ( t ) = 100 ( 4.1 t 2 − 20.4 t + 29.5 )

Solution Summary: The author explains how to determine the appropriate model to fit the data points from the following options.

Concept explainers

Videos

The appropriate model to fit the data points from the following options. (a) n(t)=3,0001+12(2−t) (b) n(t)=2,0004.2−0.7t (c) n(t)=300(1.6t) (d) n(t)=100(4.1t2−20.4t+29.5)

The model that predict that the number of books purchased are rising, falling or leveling off from the following options, (a) n(t)=3,0001+12(2−t) (b) n(t)=2,0004.2−0.7t (c) n(t)=300(1.6t) (d) n(t)=100(4.1t2−20.4t+29.5)

Want to see the full answer?

Chapter 1 Solutions

The appropriate model to fit the data points from the following options.

(a) n(t)=3,0001+12(2−t)

(b) n(t)=2,0004.2−0.7t

(c) n(t)=300(1.6t)

(d) n(t)=100(4.1t2−20.4t+29.5)

The model that predict that the number of books purchased are rising, falling or leveling off from the following options,

(a) n(t)=3,0001+12(2−t)

(b) n(t)=2,0004.2−0.7t

(c) n(t)=300(1.6t)

(d) n(t)=100(4.1t2−20.4t+29.5)