Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 1.5, Problem 33E

To determine

To find: whether it is possible that vendor made $914 on Thursday. Also give explanation for your answer.

Expert Solution

Answer to Problem 33E

No, it is not possible.

Explanation of Solution

Given information:

The given information made by the vendor on selling the item is as follows:

Day	Number of regular espressos sold	Number of large espressos sold	Total amount made ($)
Monday	216	162	783
Thursday	248	186	914

Calculation:

Let the number of large espressos and regular espresso be L and R respectively.

The equation for vendor’s sale on Monday night will be as follows:

162L+216R=783162L+216R−783=0 [Rearranging in standard form; Ax+By+C=0]

Put the values of the slope and y- intercept in the equation as follows:

m=−AB and b=−CBm=−162216 and b=−−783216m=−0.75 and b=3.625

The equation for vendor’s sale on Thursday night will be as follows:

186L+248R=914186L+248R−914=0 [Rearranging in standard form; Ax+By+C=0]

Put the values of the slope and y- intercept in the equation as follows:

m=−AB and b=−CBm=−186248 and b=−−914248m=−0.75 and b=3.685

The slopes of both the equation is same but the value of b is approximately same. So, these are not coinciding functions. It is not possible that the vendor made that amount on Thursday because b≈b(3.625≈3.685) .

To determine

To find: whether it is possible that vendor made $1247 on Saturday. Also give explanation for your answer.

Expert Solution

Answer to Problem 33E

Yes, it is possible.

Explanation of Solution

Given information:

The given information made by the vendor on selling the item is as follows:

Day	Number of regular espressos sold	Number of large espressos sold	Total amount made ($)
Monday	216	162	783
Saturday	344	258	1247

Calculation:

Let the number of large espressos and regular espresso be L and R respectively.

The equation for vendor’s sale on Monday night will be as follows:

162L+216R=783162L+216R−783=0 [Rearranging in standard form; Ax+By+C=0]

Put the values of the slope and y- intercept in the equation as follows:

m=−AB and b=−CBm=−162216 and b=−−783216m=−0.75 and b=3.625

The equation for vendor’s sale on Saturday night will be as follows:

258L+344R=1247258L+344R−1247=0 [Rearranging in standard form; Ax+By+C=0]

Put the values of the slope and y- intercept in the equation as follows:

m=−AB and b=−CBm=−258344 and b=−−1247344m=−0.75 and b=3.625

The slopes of both the equation is same and the value of b is also same. So, these are coinciding functions. Thus, it is possible that the vendor made that amount on Saturday.

Chapter 1.5, Problem 32E

Chapter 1.5, Problem 34E

Chapter 1 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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

Ch. 1.1 - Prob. 11CFU Ch. 1.1 - Prob. 12CFU Ch. 1.1 - Prob. 13CFU Ch. 1.1 - Prob. 14CFU Ch. 1.1 - Prob. 15CFU Ch. 1.1 - Prob. 16CFU 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. 1.2 - Prob. 1GCE Ch. 1.2 - Prob. 2GCE Ch. 1.2 - Prob. 3GCE Ch. 1.2 - Prob. 4GCE Ch. 1.2 - Prob. 5GCE Ch. 1.2 - Prob. 1CFU Ch. 1.2 - Prob. 2CFU Ch. 1.2 - Prob. 3CFU Ch. 1.2 - Prob. 4CFU Ch. 1.2 - Prob. 5CFU Ch. 1.2 - Prob. 6CFU Ch. 1.2 - Prob. 7CFU Ch. 1.2 - Prob. 8CFU Ch. 1.2 - Prob. 9CFU Ch. 1.2 - Prob. 10CFU Ch. 1.2 - Prob. 11E Ch. 1.2 - Prob. 12E Ch. 1.2 - Prob. 13E Ch. 1.2 - Prob. 14E Ch. 1.2 - Prob. 15E Ch. 1.2 - Prob. 16E Ch. 1.2 - Prob. 17E Ch. 1.2 - Prob. 18E Ch. 1.2 - Prob. 19E Ch. 1.2 - Prob. 20E Ch. 1.2 - Prob. 21E Ch. 1.2 - Prob. 22E Ch. 1.2 - Prob. 23E Ch. 1.2 - Prob. 24E Ch. 1.2 - Prob. 25E Ch. 1.2 - Prob. 26E Ch. 1.2 - Prob. 27E Ch. 1.2 - Prob. 28E Ch. 1.2 - Prob. 29E Ch. 1.2 - Prob. 30E Ch. 1.2 - Prob. 31E Ch. 1.2 - Prob. 32E Ch. 1.2 - Prob. 33E Ch. 1.2 - Prob. 34E Ch. 1.2 - Prob. 35E Ch. 1.2 - Prob. 36E Ch. 1.2 - Prob. 37E Ch. 1.2 - Prob. 38E Ch. 1.2 - Prob. 39E Ch. 1.3 - Prob. 1CFU Ch. 1.3 - Prob. 2CFU Ch. 1.3 - Prob. 3CFU Ch. 1.3 - Prob. 4CFU Ch. 1.3 - Prob. 5CFU Ch. 1.3 - Prob. 6CFU Ch. 1.3 - Prob. 7CFU Ch. 1.3 - Prob. 8CFU Ch. 1.3 - Prob. 9CFU Ch. 1.3 - Prob. 10CFU Ch. 1.3 - Prob. 11CFU Ch. 1.3 - Prob. 12E Ch. 1.3 - Prob. 13E Ch. 1.3 - Prob. 14E Ch. 1.3 - Prob. 15E Ch. 1.3 - Prob. 16E Ch. 1.3 - Prob. 17E Ch. 1.3 - Prob. 18E Ch. 1.3 - Prob. 19E Ch. 1.3 - Prob. 20E Ch. 1.3 - Prob. 21E Ch. 1.3 - Prob. 22E Ch. 1.3 - Prob. 23E Ch. 1.3 - Prob. 24E Ch. 1.3 - Prob. 25E Ch. 1.3 - Prob. 26E Ch. 1.3 - Prob. 27E Ch. 1.3 - Prob. 28E Ch. 1.3 - Prob. 29E Ch. 1.3 - Prob. 30E Ch. 1.3 - Prob. 31E Ch. 1.3 - Prob. 32E Ch. 1.3 - Prob. 33E Ch. 1.3 - Prob. 34E Ch. 1.3 - Prob. 35E Ch. 1.3 - Prob. 36E Ch. 1.3 - Prob. 37E Ch. 1.3 - Prob. 38E Ch. 1.3 - Prob. 39E Ch. 1.3 - Prob. 40E Ch. 1.3 - Prob. 41E Ch. 1.3 - Prob. 42E Ch. 1.3 - Prob. 43E Ch. 1.3 - Prob. 44E Ch. 1.3 - Prob. 45E Ch. 1.3 - Prob. 46E Ch. 1.3B - Prob. 1GCE Ch. 1.3B - Prob. 2GCE Ch. 1.3B - Prob. 3GCE Ch. 1.4 - Prob. 1CFU Ch. 1.4 - Prob. 2CFU Ch. 1.4 - Prob. 3CFU Ch. 1.4 - Prob. 4CFU Ch. 1.4 - Prob. 5CFU Ch. 1.4 - Prob. 6CFU Ch. 1.4 - Prob. 7CFU Ch. 1.4 - Prob. 8CFU Ch. 1.4 - Prob. 9CFU Ch. 1.4 - Prob. 10CFU Ch. 1.4 - Prob. 11E Ch. 1.4 - Prob. 12E Ch. 1.4 - Prob. 13E Ch. 1.4 - Prob. 14E Ch. 1.4 - Prob. 15E Ch. 1.4 - Prob. 16E Ch. 1.4 - Prob. 17E Ch. 1.4 - Prob. 18E Ch. 1.4 - Prob. 19E Ch. 1.4 - Prob. 20E Ch. 1.4 - Prob. 21E Ch. 1.4 - Prob. 22E Ch. 1.4 - Prob. 23E Ch. 1.4 - Prob. 24E Ch. 1.4 - Prob. 25E Ch. 1.4 - Prob. 26E Ch. 1.4 - Prob. 27E Ch. 1.4 - Prob. 28E Ch. 1.4 - Prob. 29E Ch. 1.4 - Prob. 30E Ch. 1.4 - Prob. 31E Ch. 1.4 - Prob. 32E Ch. 1.4 - Prob. 33E Ch. 1.4 - Prob. 34E Ch. 1.4 - Prob. 35E Ch. 1.4 - Prob. 1MCQ Ch. 1.4 - Prob. 2MCQ Ch. 1.4 - Prob. 3MCQ Ch. 1.4 - Prob. 4MCQ Ch. 1.4 - Prob. 5MCQ Ch. 1.4 - Prob. 6MCQ Ch. 1.4 - Prob. 7MCQ Ch. 1.4 - Prob. 8MCQ Ch. 1.4 - Prob. 9MCQ Ch. 1.4 - Prob. 10MCQ Ch. 1.5 - Prob. 1CFU Ch. 1.5 - Prob. 2CFU Ch. 1.5 - Prob. 3CFU Ch. 1.5 - Prob. 4CFU Ch. 1.5 - Prob. 5CFU Ch. 1.5 - Prob. 6CFU Ch. 1.5 - Prob. 7CFU Ch. 1.5 - Prob. 8CFU Ch. 1.5 - Prob. 9CFU Ch. 1.5 - Prob. 10CFU Ch. 1.5 - Prob. 11CFU Ch. 1.5 - Prob. 12E Ch. 1.5 - Prob. 13E Ch. 1.5 - Prob. 14E Ch. 1.5 - Prob. 15E Ch. 1.5 - Prob. 16E Ch. 1.5 - Prob. 17E Ch. 1.5 - Prob. 18E Ch. 1.5 - Prob. 19E Ch. 1.5 - Prob. 20E Ch. 1.5 - Prob. 21E Ch. 1.5 - Prob. 22E Ch. 1.5 - Prob. 23E Ch. 1.5 - Prob. 24E Ch. 1.5 - Prob. 25E Ch. 1.5 - Prob. 26E Ch. 1.5 - Prob. 27E Ch. 1.5 - Prob. 28E Ch. 1.5 - Prob. 29E Ch. 1.5 - Prob. 30E Ch. 1.5 - Prob. 31E Ch. 1.5 - Prob. 32E Ch. 1.5 - Prob. 33E Ch. 1.5 - Prob. 34E Ch. 1.5 - Prob. 35E Ch. 1.5 - Prob. 36E Ch. 1.5 - Prob. 37E Ch. 1.5 - Prob. 38E Ch. 1.5 - Prob. 39E Ch. 1.5 - Prob. 40E Ch. 1.6 - Prob. 1CFU Ch. 1.6 - Prob. 2CFU Ch. 1.6 - Prob. 3CFU Ch. 1.6 - Prob. 4CFU Ch. 1.6 - Prob. 5CFU Ch. 1.6 - Prob. 6E Ch. 1.6 - Prob. 7E Ch. 1.6 - Prob. 8E Ch. 1.6 - Prob. 9E Ch. 1.6 - Prob. 10E Ch. 1.6 - Prob. 11E Ch. 1.6 - Prob. 12E Ch. 1.6 - Prob. 13E Ch. 1.6 - Prob. 14E Ch. 1.6 - Prob. 15E Ch. 1.6 - Prob. 16E Ch. 1.6 - Prob. 17E Ch. 1.6 - Prob. 18E Ch. 1.6 - Prob. 19E Ch. 1.7 - Prob. 1CFU Ch. 1.7 - Prob. 2CFU Ch. 1.7 - Prob. 3CFU Ch. 1.7 - Prob. 4CFU Ch. 1.7 - Prob. 5CFU Ch. 1.7 - Prob. 6CFU Ch. 1.7 - Prob. 7CFU Ch. 1.7 - Prob. 8CFU Ch. 1.7 - Prob. 9CFU Ch. 1.7 - Prob. 10CFU Ch. 1.7 - Prob. 11E Ch. 1.7 - Prob. 12E Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - Prob. 15E Ch. 1.7 - Prob. 16E Ch. 1.7 - Prob. 17E Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - Prob. 25E Ch. 1.7 - Prob. 26E Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - Prob. 29E Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - Prob. 33E Ch. 1.7 - Prob. 34E Ch. 1.7 - Prob. 35E Ch. 1.7 - Prob. 36E Ch. 1.7 - Prob. 37E Ch. 1.8 - Prob. 1CFU Ch. 1.8 - Prob. 2CFU Ch. 1.8 - Prob. 3CFU Ch. 1.8 - Prob. 4CFU Ch. 1.8 - Prob. 5CFU Ch. 1.8 - Prob. 6CFU Ch. 1.8 - Prob. 7CFU Ch. 1.8 - Prob. 8CFU Ch. 1.8 - Prob. 9E Ch. 1.8 - Prob. 10E Ch. 1.8 - Prob. 11E Ch. 1.8 - Prob. 12E Ch. 1.8 - Prob. 13E Ch. 1.8 - Prob. 14E Ch. 1.8 - Prob. 15E Ch. 1.8 - Prob. 16E Ch. 1.8 - Prob. 17E Ch. 1.8 - Prob. 18E Ch. 1.8 - Prob. 19E Ch. 1.8 - Prob. 20E Ch. 1.8 - Prob. 21E Ch. 1.8 - Prob. 22E Ch. 1.8 - Prob. 23E Ch. 1.8 - Prob. 24E Ch. 1.8 - Prob. 25E Ch. 1.8 - Prob. 26E Ch. 1.8 - Prob. 27E Ch. 1.8 - Prob. 28E Ch. 1.8 - Prob. 29E Ch. 1.8 - Prob. 30E Ch. 1.8 - Prob. 31E Ch. 1.8 - Prob. 32E Ch. 1 - Prob. 1SGA Ch. 1 - Prob. 2SGA Ch. 1 - Prob. 3SGA Ch. 1 - Prob. 4SGA Ch. 1 - Prob. 5SGA Ch. 1 - Prob. 6SGA Ch. 1 - Prob. 7SGA Ch. 1 - Prob. 8SGA Ch. 1 - Prob. 9SGA Ch. 1 - Prob. 10SGA Ch. 1 - Prob. 11SGA Ch. 1 - Prob. 12SGA Ch. 1 - Prob. 13SGA Ch. 1 - Prob. 14SGA Ch. 1 - Prob. 15SGA Ch. 1 - Prob. 16SGA Ch. 1 - Prob. 17SGA Ch. 1 - Prob. 18SGA Ch. 1 - Prob. 19SGA Ch. 1 - Prob. 20SGA Ch. 1 - Prob. 21SGA Ch. 1 - Prob. 22SGA Ch. 1 - Prob. 23SGA Ch. 1 - Prob. 24SGA Ch. 1 - Prob. 25SGA Ch. 1 - Prob. 26SGA Ch. 1 - Prob. 27SGA Ch. 1 - Prob. 28SGA Ch. 1 - Prob. 29SGA Ch. 1 - Prob. 30SGA Ch. 1 - Prob. 31SGA Ch. 1 - Prob. 32SGA Ch. 1 - Prob. 33SGA Ch. 1 - Prob. 34SGA Ch. 1 - Prob. 35SGA Ch. 1 - Prob. 36SGA Ch. 1 - Prob. 37SGA Ch. 1 - Prob. 38SGA Ch. 1 - Prob. 39SGA Ch. 1 - Prob. 40SGA Ch. 1 - Prob. 41SGA Ch. 1 - Prob. 42SGA Ch. 1 - Prob. 43SGA Ch. 1 - Prob. 44SGA Ch. 1 - Prob. 45SGA Ch. 1 - Prob. 46SGA Ch. 1 - Prob. 47SGA Ch. 1 - Prob. 48SGA Ch. 1 - Prob. 49SGA Ch. 1 - Prob. 50SGA Ch. 1 - Prob. 51SGA Ch. 1 - Prob. 52SGA Ch. 1 - Prob. 53SGA Ch. 1 - Prob. 54SGA Ch. 1 - Prob. 55SGA Ch. 1 - Prob. 56SGA Ch. 1 - Prob. 57SGA Ch. 1 - Prob. 58SGA Ch. 1 - Prob. 59SGA Ch. 1 - Prob. 60SGA Ch. 1 - Prob. 61SGA Ch. 1 - Prob. 62SGA Ch. 1 - Prob. 63SGA Ch. 1 - Prob. 64SGA Ch. 1 - Prob. 65SGA Ch. 1 - Prob. 66SGA Ch. 1 - Prob. 67SGA Ch. 1 - Prob. 68SGA Ch. 1 - Prob. 69SGA Ch. 1 - Prob. 1SAP Ch. 1 - Prob. 2SAP Ch. 1 - Prob. 3SAP Ch. 1 - Prob. 4SAP Ch. 1 - Prob. 5SAP Ch. 1 - Prob. 6SAP Ch. 1 - Prob. 7SAP Ch. 1 - Prob. 8SAP Ch. 1 - Prob. 9SAP Ch. 1 - Prob. 10SAP

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