High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 4.7, Problem 37PPE
To determine

To find : the explicit formula to represent the amount of money left on the card as an arithmetic sequence and the value of the card after buying 12 lunches.

Expert Solution & Answer
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Answer to Problem 37PPE

Explicit formula: A(n+1)=503.25n

The value of the card after buying 12 lunches is $11

Explanation of Solution

Given sequence: We have a cafeteria card $50. After we buy lunch on Monday, its value is $46.75and after we buy lunch on Tuesday, its value is $43.50.

Calculation:

The sequence of the value of the cafeteria card is 50, 46.75, 43.50 ,….form an arithmetic sequence with first term A(1)=50 and common difference is d=46.7550=3.25

We know that the explicit formula for the arithmetic sequence with first term A(1) and common ratio d is

  A(n)=A(1)+(n1)(d)

The value of the card after buying n lunches is the ( n+ 1)th term of the sequence, so explicit formula to represent the amount of money left on the card after n lunches is

  A(n+1)=50+(n)(3.25)A(n+1)=503.25n

Now, the value of the card after buying 12 lunches = A(13)=503.25×12=$11

Chapter 4 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 4.1 - Prob. 8PPECh. 4.1 - Prob. 9PPECh. 4.1 - Prob. 10PPECh. 4.1 - Prob. 11PPECh. 4.1 - Prob. 12PPECh. 4.1 - Prob. 13PPECh. 4.1 - Prob. 14PPECh. 4.1 - Prob. 15PPECh. 4.1 - Prob. 16PPECh. 4.1 - Prob. 17PPECh. 4.1 - Prob. 18PPECh. 4.1 - Prob. 19PPECh. 4.1 - Prob. 20PPECh. 4.1 - Prob. 21STPCh. 4.1 - Prob. 22STPCh. 4.1 - Prob. 23STPCh. 4.1 - Prob. 24MRCh. 4.1 - Prob. 25MRCh. 4.1 - Prob. 26MRCh. 4.1 - Prob. 27MRCh. 4.1 - Prob. 28MRCh. 4.1 - Prob. 29MRCh. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 1LCCh. 4.2 - Prob. 2LCCh. 4.2 - Prob. 3LCCh. 4.2 - Prob. 4LCCh. 4.2 - Prob. 5LCCh. 4.2 - Prob. 6PPECh. 4.2 - Prob. 7PPECh. 4.2 - Prob. 8PPECh. 4.2 - Prob. 9PPECh. 4.2 - Prob. 10PPECh. 4.2 - Prob. 11PPECh. 4.2 - Prob. 12PPECh. 4.2 - Prob. 13PPECh. 4.2 - Prob. 14PPECh. 4.2 - Prob. 15PPECh. 4.2 - Prob. 16PPECh. 4.2 - Prob. 17PPECh. 4.2 - Prob. 18PPECh. 4.2 - Prob. 19PPECh. 4.2 - Prob. 20PPECh. 4.2 - Prob. 1MPCh. 4.3 - Prob. 1PCh. 4.3 - Prob. 2PCh. 4.3 - Prob. 3PCh. 4.3 - Prob. 1LCCh. 4.3 - Prob. 2LCCh. 4.3 - Prob. 3LCCh. 4.3 - Prob. 4LCCh. 4.3 - Prob. 5LCCh. 4.3 - Prob. 6PPECh. 4.3 - Prob. 7PPECh. 4.3 - Prob. 8PPECh. 4.3 - Prob. 9PPECh. 4.3 - Prob. 10PPECh. 4.3 - Prob. 11PPECh. 4.3 - Prob. 12PPECh. 4.3 - Prob. 13PPECh. 4.3 - Prob. 14PPECh. 4.3 - Prob. 15PPECh. 4.3 - Prob. 16PPECh. 4.3 - Prob. 17PPECh. 4.3 - Prob. 18PPECh. 4.3 - Prob. 19PPECh. 4.3 - Prob. 20PPECh. 4.3 - Prob. 21PPECh. 4.3 - Prob. 22PPECh. 4.3 - Prob. 23STPCh. 4.3 - Prob. 24STPCh. 4.3 - Prob. 25STPCh. 4.3 - Prob. 26MRCh. 4.3 - Prob. 27MRCh. 4.3 - Prob. 28MRCh. 4.3 - Prob. 29MRCh. 4.3 - Prob. 1MCQCh. 4.3 - Prob. 2MCQCh. 4.3 - Prob. 3MCQCh. 4.3 - Prob. 4MCQCh. 4.3 - Prob. 5MCQCh. 4.3 - Prob. 6MCQCh. 4.3 - Prob. 7MCQCh. 4.3 - Prob. 8MCQCh. 4.3 - Prob. 9MCQCh. 4.3 - Prob. 10MCQCh. 4.3 - Prob. 11MCQCh. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 1LCCh. 4.4 - Prob. 2LCCh. 4.4 - Prob. 3LCCh. 4.4 - Prob. 4LCCh. 4.4 - Prob. 5LCCh. 4.4 - Prob. 6LCCh. 4.4 - Prob. 7LCCh. 4.4 - Prob. 8LCCh. 4.4 - Prob. 9PPECh. 4.4 - Prob. 10PPECh. 4.4 - Prob. 11PPECh. 4.4 - Prob. 12PPECh. 4.4 - Prob. 13PPECh. 4.4 - Prob. 14PPECh. 4.4 - Prob. 15PPECh. 4.4 - Prob. 16PPECh. 4.4 - Prob. 17PPECh. 4.4 - Prob. 18PPECh. 4.4 - Prob. 19PPECh. 4.4 - Prob. 20PPECh. 4.4 - Prob. 21PPECh. 4.4 - Prob. 22PPECh. 4.4 - Prob. 23PPECh. 4.4 - Prob. 24PPECh. 4.4 - Prob. 25PPECh. 4.4 - Prob. 26PPECh. 4.4 - Prob. 27PPECh. 4.4 - Prob. 28PPECh. 4.4 - Prob. 29PPECh. 4.4 - Prob. 30PPECh. 4.4 - Prob. 31PPECh. 4.4 - Prob. 32PPECh. 4.4 - Prob. 33PPECh. 4.4 - Prob. 34PPECh. 4.4 - Prob. 35PPECh. 4.4 - Prob. 36PPECh. 4.4 - Prob. 37PPECh. 4.4 - Prob. 38PPECh. 4.4 - Prob. 39PPECh. 4.4 - Prob. 40PPECh. 4.4 - Prob. 41PPECh. 4.4 - Prob. 1MPCh. 4.4 - Prob. 1CBCh. 4.4 - Prob. 2CBCh. 4.4 - Prob. 3CBCh. 4.4 - Prob. 4CBCh. 4.4 - Prob. 5CBCh. 4.4 - Prob. 6CBCh. 4.4 - Prob. 7CBCh. 4.4 - Prob. 8CBCh. 4.4 - Prob. 9CBCh. 4.4 - Prob. 10CBCh. 4.4 - Prob. 11CBCh. 4.4 - Prob. 12CBCh. 4.4 - Prob. 13CBCh. 4.4 - Prob. 14CBCh. 4.5 - Prob. 1PCh. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 1LCCh. 4.5 - Prob. 2LCCh. 4.5 - Prob. 3LCCh. 4.5 - Prob. 4LCCh. 4.5 - Prob. 5LCCh. 4.5 - Prob. 6LCCh. 4.5 - Prob. 7LCCh. 4.5 - Prob. 8PPECh. 4.5 - Prob. 9PPECh. 4.5 - Prob. 10PPECh. 4.5 - Prob. 11PPECh. 4.5 - Prob. 12PPECh. 4.5 - Prob. 13PPECh. 4.5 - Prob. 14PPECh. 4.5 - Prob. 15PPECh. 4.5 - Prob. 16PPECh. 4.5 - Prob. 17PPECh. 4.5 - Prob. 18PPECh. 4.5 - Prob. 19PPECh. 4.5 - Prob. 20PPECh. 4.5 - Prob. 21PPECh. 4.5 - Prob. 22PPECh. 4.5 - Prob. 23PPECh. 4.5 - Prob. 24PPECh. 4.5 - Prob. 25PPECh. 4.5 - Prob. 26PPECh. 4.5 - Prob. 27PPECh. 4.5 - Prob. 28PPECh. 4.5 - Prob. 29PPECh. 4.5 - Prob. 30PPECh. 4.5 - Prob. 31PPECh. 4.5 - Prob. 32PPECh. 4.5 - Prob. 33STPCh. 4.5 - Prob. 34STPCh. 4.5 - Prob. 35STPCh. 4.5 - Prob. 36STPCh. 4.5 - Prob. 37MRCh. 4.5 - Prob. 38MRCh. 4.5 - Prob. 39MRCh. 4.5 - Prob. 40MRCh. 4.5 - Prob. 41MRCh. 4.5 - Prob. 42MRCh. 4.5 - Prob. 43MRCh. 4.5 - Prob. 44MRCh. 4.5 - Prob. 45MRCh. 4.5 - Prob. 46MRCh. 4.5 - Prob. 47MRCh. 4.5 - Prob. 48MRCh. 4.5 - Prob. 49MRCh. 4.5 - Prob. 50MRCh. 4.5 - Prob. 51MRCh. 4.5 - Prob. 52MRCh. 4.5 - Prob. 53MRCh. 4.5 - Prob. 54MRCh. 4.5 - Prob. 55MRCh. 4.5 - Prob. 56MRCh. 4.6 - Prob. 1PCh. 4.6 - Prob. 2PCh. 4.6 - Prob. 3PCh. 4.6 - Prob. 4PCh. 4.6 - Prob. 5PCh. 4.6 - Prob. 1LCCh. 4.6 - Prob. 2LCCh. 4.6 - Prob. 3LCCh. 4.6 - Prob. 4LCCh. 4.6 - Prob. 5LCCh. 4.6 - Prob. 6LCCh. 4.6 - Prob. 7LCCh. 4.6 - Prob. 8PPECh. 4.6 - Prob. 9PPECh. 4.6 - Prob. 10PPECh. 4.6 - Prob. 11PPECh. 4.6 - Prob. 12PPECh. 4.6 - Prob. 13PPECh. 4.6 - Prob. 14PPECh. 4.6 - Prob. 15PPECh. 4.6 - Prob. 16PPECh. 4.6 - Prob. 17PPECh. 4.6 - Prob. 18PPECh. 4.6 - Prob. 19PPECh. 4.6 - Prob. 20PPECh. 4.6 - Prob. 21PPECh. 4.6 - Prob. 22PPECh. 4.6 - Prob. 23PPECh. 4.6 - Prob. 24PPECh. 4.6 - Prob. 25PPECh. 4.6 - Prob. 26PPECh. 4.6 - Prob. 27PPECh. 4.6 - Prob. 28PPECh. 4.6 - Prob. 29PPECh. 4.6 - Prob. 30PPECh. 4.6 - Prob. 31PPECh. 4.6 - Prob. 32PPECh. 4.6 - Prob. 33PPECh. 4.6 - Prob. 34PPECh. 4.6 - Prob. 35PPECh. 4.6 - Prob. 36PPECh. 4.6 - Prob. 37PPECh. 4.6 - Prob. 38PPECh. 4.6 - Prob. 39PPECh. 4.6 - Prob. 40PPECh. 4.6 - Prob. 41STPCh. 4.6 - Prob. 42STPCh. 4.6 - Prob. 43STPCh. 4.6 - Prob. 44STPCh. 4.6 - Prob. 45MRCh. 4.6 - Prob. 46MRCh. 4.6 - Prob. 47MRCh. 4.6 - Prob. 48MRCh. 4.6 - Prob. 49MRCh. 4.6 - Prob. 50MRCh. 4.7 - Prob. 1PCh. 4.7 - Prob. 2PCh. 4.7 - Prob. 3PCh. 4.7 - Prob. 4PCh. 4.7 - Prob. 5PCh. 4.7 - Prob. 6PCh. 4.7 - Prob. 1LCCh. 4.7 - Prob. 2LCCh. 4.7 - Prob. 3LCCh. 4.7 - Prob. 4LCCh. 4.7 - Prob. 5LCCh. 4.7 - Prob. 6LCCh. 4.7 - Prob. 7LCCh. 4.7 - Prob. 8LCCh. 4.7 - Prob. 9PPECh. 4.7 - Prob. 10PPECh. 4.7 - Prob. 11PPECh. 4.7 - Prob. 12PPECh. 4.7 - Prob. 13PPECh. 4.7 - Prob. 14PPECh. 4.7 - Prob. 15PPECh. 4.7 - Prob. 16PPECh. 4.7 - Prob. 17PPECh. 4.7 - Prob. 18PPECh. 4.7 - Prob. 19PPECh. 4.7 - Prob. 20PPECh. 4.7 - Prob. 21PPECh. 4.7 - Prob. 22PPECh. 4.7 - Prob. 23PPECh. 4.7 - Prob. 24PPECh. 4.7 - Prob. 25PPECh. 4.7 - Prob. 26PPECh. 4.7 - Prob. 27PPECh. 4.7 - Prob. 28PPECh. 4.7 - Prob. 29PPECh. 4.7 - Prob. 30PPECh. 4.7 - Prob. 31PPECh. 4.7 - Prob. 32PPECh. 4.7 - Prob. 33PPECh. 4.7 - Prob. 34PPECh. 4.7 - Prob. 35PPECh. 4.7 - Prob. 36PPECh. 4.7 - Prob. 37PPECh. 4.7 - Prob. 38PPECh. 4.7 - Prob. 39PPECh. 4.7 - Prob. 40PPECh. 4.7 - Prob. 41PPECh. 4.7 - Prob. 42PPECh. 4.7 - Prob. 43PPECh. 4.7 - Prob. 44PPECh. 4.7 - Prob. 45PPECh. 4.7 - Prob. 46PPECh. 4.7 - Prob. 47PPECh. 4.7 - Prob. 48PPECh. 4.7 - Prob. 49PPECh. 4.7 - Prob. 50PPECh. 4.7 - Prob. 51PPECh. 4.7 - Prob. 52PPECh. 4.7 - Prob. 53PPECh. 4.7 - Prob. 54PPECh. 4.7 - Prob. 55PPECh. 4.7 - Prob. 56PPECh. 4.7 - Prob. 57PPECh. 4.7 - Prob. 58PPECh. 4.7 - Prob. 59PPECh. 4.7 - Prob. 60PPECh. 4.7 - Prob. 61PPECh. 4.7 - Prob. 62PPECh. 4.7 - Prob. 63PPECh. 4.7 - Prob. 64PPECh. 4.7 - Prob. 65PPECh. 4.7 - Prob. 66PPECh. 4.7 - Prob. 67PPECh. 4.7 - Prob. 68PPECh. 4.7 - Prob. 69PPECh. 4.7 - Prob. 70PPECh. 4.7 - Prob. 71PPECh. 4.7 - Prob. 72PPECh. 4.7 - Prob. 73PPECh. 4.7 - Prob. 74PPECh. 4.7 - Prob. 75PPECh. 4.7 - Prob. 1MPCh. 4 - Prob. 1GRCh. 4 - Prob. 2GRCh. 4 - Prob. 3GRCh. 4 - Prob. 4GRCh. 4 - Prob. 5GRCh. 4 - Prob. 6GRCh. 4 - Prob. 7GRCh. 4 - Prob. 8GRCh. 4 - Prob. 9GRCh. 4 - Prob. 10GRCh. 4 - Prob. 11GRCh. 4 - Prob. 12GRCh. 4 - Prob. 13GRCh. 4 - Prob. 14GRCh. 4 - Prob. 15GRCh. 4 - Prob. 16GRCh. 4 - Prob. 17GRCh. 4 - Prob. 18GRCh. 4 - Prob. 19GRCh. 4 - Prob. 20GRCh. 4 - Prob. 21GRCh. 4 - Prob. 22GRCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 21CRCh. 4 - Prob. 22CRCh. 4 - Prob. 23CRCh. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Prob. 26CRCh. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 1CCSRCh. 4 - Prob. 2CCSRCh. 4 - Prob. 3CCSRCh. 4 - Prob. 4CCSRCh. 4 - Prob. 5CCSRCh. 4 - Prob. 6CCSRCh. 4 - Prob. 7CCSRCh. 4 - Prob. 8CCSRCh. 4 - Prob. 9CCSRCh. 4 - Prob. 10CCSRCh. 4 - Prob. 11CCSRCh. 4 - Prob. 12CCSRCh. 4 - Prob. 13CCSRCh. 4 - Prob. 14CCSRCh. 4 - Prob. 15CCSRCh. 4 - Prob. 16CCSRCh. 4 - Prob. 17CCSRCh. 4 - Prob. 18CCSRCh. 4 - Prob. 19CCSRCh. 4 - Prob. 20CCSRCh. 4 - Prob. 21CCSRCh. 4 - Prob. 22CCSRCh. 4 - Prob. 23CCSRCh. 4 - Prob. 24CCSRCh. 4 - Prob. 25CCSRCh. 4 - Prob. 26CCSRCh. 4 - Prob. 27CCSR
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