3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly...
Transcript of 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly...
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3.1 Systems of Linear Equations
Word Problems
![Page 2: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/2.jpg)
Word Problemsp.122 #37
37) To pay your monthly bills, you can either open a checking account or use an online banking service. A local bank charges $3 per month and $0.40 per check, while an online service charges a flat fee of $9 per month.
a) Write and graph a system of linear equations to model the cost c of each service for b bills that you need to pay monthly.
b) Find the point of intersection of the two linear models. What does this answer represent?
c) If you pay about 12 bills per month, which service should you choose? Explain
![Page 3: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/3.jpg)
p. 122 #37
a) Write and graph a system of linear equations to model the cost c of each service for b bills that you need to pay monthly.
![Page 4: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/4.jpg)
p. 122 #37
a) Write and graph a system of linear equations to model the cost c of each service for b bills that you need to pay monthly.
Checking account:
$3/month, $0.40 per bill
Online banking:
Fixed cost of $9
![Page 5: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/5.jpg)
p. 122 #37
a) Write and graph a system of linear equations to model the cost c of each service for b bills that you need to pay monthly.
Checking account: c = $3 + $0.40b
Online banking: c = $9
![Page 6: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/6.jpg)
p. 122 #37Checking account: c = $3 + $0.40b
Online banking: c = $911
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Monthly cost
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Number of monthly bills
![Page 7: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/7.jpg)
p. 122 #37Checking account: c = $3 + $0.40b
Online banking: c = $911
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0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Monthly cost
($)
Number of monthly bills
![Page 8: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/8.jpg)
p. 122 #37Checking account: c = $3 + $0.40b
Online banking: c = $911
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0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Monthly cost
($)
Number of monthly bills
![Page 9: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/9.jpg)
p. 122 #37Checking account: c = $3 + $0.40b
Online banking: c = $911
10
9
8
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0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Monthly cost
($)
Number of monthly bills
![Page 10: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/10.jpg)
p. 122 #37b) Find the point of intersection of the two linear models.
What does this answer represent?
11
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9
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0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Monthly cost
($)
Number of monthly bills
![Page 11: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/11.jpg)
p. 122 #37b) Find the point of intersection of the two linear models.
What does this answer represent?
11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Monthly cost
($)
Number of monthly bills
![Page 12: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/12.jpg)
p. 122 #37b) Find the point of intersection of the two linear models.
What does this answer represent?
11
10
9
8
7
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4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Monthly cost
($)
Number of monthly bills
Intersection = (15, 9)
![Page 13: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/13.jpg)
p. 122 #37b) Find the point of intersection of the two linear models.
What does this answer represent?
The point of intersection is where the two linear models are equal.
It represents where the cost of using the bank or online service would be the same.
![Page 14: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/14.jpg)
p. 122 #37
c) If you pay about 12 bills per month, which service should you choose? Explain
![Page 15: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/15.jpg)
p. 122 #37
c) If you pay about 12 bills per month, which service should you choose? Explain
The local bank would be cheaper if you only have 12 bills to pay per month.
![Page 16: 3.1 Systems of Linear Equations Word Problems. Word Problems p.122 #37 37) To pay your monthly bills, you can either open a checking account or use an.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649e405503460f94b31e9a/html5/thumbnails/16.jpg)
Homework
p.122 #44, 45, 55