EBK PRE-ALGEBRA
12th Edition
ISBN: 9780358403685
Author: Larson
Publisher: HM CC
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Question
Chapter 3, Problem 23PTTS
a.
To determine
To find out which gym is less expensive if one plan to take 4 aerobics classes each month.
a.
Expert Solution
Answer to Problem 23PTTS
Gym A is more expensive.
Explanation of Solution
Given:
The annual fee of Gym A is given = $540.
The annual fee of Gym B is given = $360.
The Class fee of Aerobics Each time of Gym A = $3.
The Class fee of Aerobics Each time of Gym B = $5.
Concept Used:
The concept of forming and solving inequality is used.
Calculation:
Number of Classes of Aerobics one takes each month at = 4
Number of Classes in a year = 4 x 12 =48
Cost of Each Aerobics at Gym A = $3 x 48 = $144
Total Cost of a year at Gym A = $144 + $540 = $684.
Cost of Each Aerobics at Gym B = $5 x 48 = $240
Total Cost of a year at Gym B = $360 + $240 = $600
Hence, cost of a year at Gym A is more than cost of a year at Gym B.
Conclusion:
Thus, Gym A is more expensive.
b.
To determine
To write and solve an inequality to determine the number of aerobics class 1 year at Gym A is less than that at Gym B.
b.
Expert Solution
Answer to Problem 23PTTS
The inequality is x<90. So, 91 Aerobics Classes at Gym A is less than that at Gym B.
Explanation of Solution
Given:
The annual fee of Gym A is given = $540.
The annual fee of Gym B is given = $360.
The Class fee of Aerobics Each time of Gym A = $3.
The Class fee of Aerobics Each time of Gym B = $5.
The cost of 1 year at Gym A is less than Gym B.
Concept Used:
The concept of forming and solving inequality is used.
Calculation:
Let the number of Aerobics Classes in a year =
Cost of Each Aerobics at Gym A = $3
Total Cost of a year at Gym A =
Cost of Each Aerobics at Gym B = $5
Total Cost of a year at Gym B =
The cost of 1 year at Gym A is less than Gym B.
Take like Terms on the same side and solve.
Conclusion:
Thus, for 91 aerobics classes, Gym A is cheaper than Gym B.
c.
To determine
To find how many aerobics classes one should average each month so that the total cost for 1 year at gym B is less than that at gym A.
c.
Expert Solution
Answer to Problem 23PTTS
For 22 aerobics classes each month, Gym B is cheaper than Gym A.
Explanation of Solution
Given:
The annual fee of Gym A is given = $540.
The annual fee of Gym B is given = $360.
The Class fee of Aerobics Each time of Gym A = $3.
The Class fee of Aerobics Each time of Gym B = $5.
The cost of 1 year at Gym B is less than Gym A.
Concept Used:
The concept of forming and solving inequality is used.
Calculation:
Let the number of Aerobics Classes in a year =
Cost of Each Aerobics at Gym A = $3
Total Cost of a year at Gym A =
Cost of Each Aerobics at Gym B = $5
Total Cost of a year at Gym B =
The cost of 1 year at Gym B is less than Gym A.
Take like Terms on the same side and solve.
Average classes each month =
Conclusion:
Thus, for 22 aerobics classes each month, Gym B is cheaper than Gym A.
Chapter 3 Solutions
EBK PRE-ALGEBRA
Ch. 3.1 - Prob. 1CCh. 3.1 - Prob. 2CCh. 3.1 - Prob. 3CCh. 3.1 - Prob. 4CCh. 3.1 - Prob. 5CCh. 3.1 - Prob. 6CCh. 3.1 - Prob. 7CCh. 3.1 - Prob. 8CCh. 3.1 - Prob. 9CCh. 3.1 - Prob. 10C
Ch. 3.1 - Prob. 11CCh. 3.1 - Prob. 12CCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.2 - Prob. 1CCh. 3.2 - Prob. 2CCh. 3.2 - Prob. 3CCh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.3 - Prob. 1CCh. 3.3 - Prob. 2CCh. 3.3 - Prob. 3CCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.4 - Prob. 1CCh. 3.4 - Prob. 2CCh. 3.4 - Prob. 3CCh. 3.4 - Prob. 4CCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.5 - Prob. 1CCh. 3.5 - Prob. 2CCh. 3.5 - Prob. 3CCh. 3.5 - Prob. 4CCh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - Prob. 41ECh. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Prob. 54ECh. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - Prob. 57ECh. 3.5 - Prob. 58ECh. 3.5 - Prob. 59ECh. 3.5 - Prob. 60ECh. 3.5 - Prob. 61ECh. 3.6 - Prob. 1CCh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3 - Prob. 1PSQCh. 3 - Prob. 2PSQCh. 3 - Prob. 3PSQCh. 3 - Prob. 4PSQCh. 3 - Prob. 5PSQCh. 3 - Prob. 6PSQCh. 3 - Prob. 7PSQCh. 3 - Prob. 8PSQCh. 3 - Prob. 9PSQCh. 3 - Prob. 10PSQCh. 3 - Prob. 11PSQCh. 3 - Prob. 12PSQCh. 3 - Prob. 13PSQCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CRCh. 3 - Prob. 25CRCh. 3 - Prob. 26CRCh. 3 - Prob. 27CRCh. 3 - Prob. 28CRCh. 3 - Prob. 29CRCh. 3 - Prob. 30CRCh. 3 - Prob. 31CRCh. 3 - Prob. 32CRCh. 3 - Prob. 33CRCh. 3 - Prob. 34CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 17CTCh. 3 - Prob. 18CTCh. 3 - Prob. 19CTCh. 3 - Prob. 20CTCh. 3 - Prob. 21CTCh. 3 - Prob. 22CTCh. 3 - Prob. 23CTCh. 3 - Prob. 24CTCh. 3 - Prob. 25CTCh. 3 - Prob. 26CTCh. 3 - Prob. 1CSTCh. 3 - Prob. 2CSTCh. 3 - Prob. 3CSTCh. 3 - Prob. 4CSTCh. 3 - Prob. 5CSTCh. 3 - Prob. 6CSTCh. 3 - Prob. 7CSTCh. 3 - Prob. 8CSTCh. 3 - Prob. 9CSTCh. 3 - Prob. 10CSTCh. 3 - Prob. 1PTTSCh. 3 - Prob. 2PTTSCh. 3 - Prob. 3PTTSCh. 3 - Prob. 4PTTSCh. 3 - Prob. 5PTTSCh. 3 - Prob. 6PTTSCh. 3 - Prob. 7PTTSCh. 3 - Prob. 8PTTSCh. 3 - Prob. 9PTTSCh. 3 - Prob. 10PTTSCh. 3 - Prob. 11PTTSCh. 3 - Prob. 12PTTSCh. 3 - Prob. 13PTTSCh. 3 - Prob. 14PTTSCh. 3 - Prob. 15PTTSCh. 3 - Prob. 16PTTSCh. 3 - Prob. 17PTTSCh. 3 - Prob. 18PTTSCh. 3 - Prob. 19PTTSCh. 3 - Prob. 20PTTSCh. 3 - Prob. 21PTTSCh. 3 - Prob. 22PTTSCh. 3 - Prob. 23PTTSCh. 3 - Prob. 1CPCh. 3 - Prob. 2CPCh. 3 - Prob. 3CPCh. 3 - Prob. 4CPCh. 3 - Prob. 5CPCh. 3 - Prob. 6CPCh. 3 - Prob. 7CPCh. 3 - Prob. 8CPCh. 3 - Prob. 9CPCh. 3 - Prob. 10CPCh. 3 - Prob. 11CPCh. 3 - Prob. 12CPCh. 3 - Prob. 13CPCh. 3 - Prob. 14CPCh. 3 - Prob. 15CPCh. 3 - Prob. 16CPCh. 3 - Prob. 17CPCh. 3 - Prob. 18CPCh. 3 - Prob. 19CPCh. 3 - Prob. 20CPCh. 3 - Prob. 21CPCh. 3 - Prob. 22CPCh. 3 - Prob. 23CPCh. 3 - Prob. 24CPCh. 3 - Prob. 25CPCh. 3 - Prob. 26CPCh. 3 - Prob. 27CPCh. 3 - Prob. 28CPCh. 3 - Prob. 29CPCh. 3 - Prob. 30CPCh. 3 - Prob. 31CPCh. 3 - Prob. 32CPCh. 3 - Prob. 33CPCh. 3 - Prob. 34CPCh. 3 - Prob. 35CPCh. 3 - Prob. 36CPCh. 3 - Prob. 37CPCh. 3 - Prob. 38CP
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