(a) Answer The minimum weight is 410 and the max is 450 Explanation Given: Recommended weight of a soccer ball is 430 grams. The actual weight is allowed to vary by up to 20 grams Calculation: | x − 430 | = 20 x − 430 = ± 20 x − 430 = − 20 ⇒ x = 430 − 20 = 410 x − 430 = 20 ⇒ x = 430 + 20 = 450 write and solve an absolute value equation tofind the minimum and maximum acceptable soccerball weight: The minimum weight is 410 and the max is 450 Conclusion: The minimum weight is 410 and the max is 450 (b) To determine is the weight acceptable? Answer The ball’s weight is not acceptable Explanation Given: Soccer ball weight 423 grams Weight of the ball decreases by 16 grams Calculation: 423 − 16 = 407 find the weight of the ball: 407 ∈ [ 410 , 450 ] ⇒ the ball's weight is not acceptable We check if the ball has an acceptable weights: Conclusion: The ball’s weight is not acceptable

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 1.4, Problem 48E

(a)

To determine

To find: the minimum and maximum acceptable soccer ball weights.

(a)

Expert Solution

Answer to Problem 48E

The minimum weight is 410 and the max is 450

Explanation of Solution

Given:

Recommended weight of a soccer ball is 430 grams.

The actual weight is allowed to vary by up to 20 grams

Calculation:

\|x−430\|=20x−430=±20x−430=−20⇒x=430−20=410x−430=20⇒x=430+20=450	write and solve an absolute value equation tofind the minimum and maximum acceptable soccerball weight:
	The minimum weight is 410 and the max is 450

Conclusion:

The minimum weight is 410 and the max is 450

(b)

To determine

is the weight acceptable?

(b)

Expert Solution

Answer to Problem 48E

The ball’s weight is not acceptable

Explanation of Solution

Given:

Soccer ball weight 423 grams

Weight of the ball decreases by 16 grams

Calculation:

423−16=407	find the weight of the ball:
407∈[410,450]⇒ the ball's weight is not acceptable	We check if the ball has an acceptable weights:

Conclusion:

The ball’s weight is not acceptable

Chapter 1.4, Problem 47E

Chapter 1.4, Problem 49E

Chapter 1 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.1 - Prob. 58E Ch. 1.1 - Prob. 59E Ch. 1.1 - Prob. 60E Ch. 1.1 - 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