1. 3.1 Systems of Linear Equations Word Problems

2. Word Problems p.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

3. 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.

4. 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

5. 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

6. p. 122 #37 Checking account:c = $3 + $0.40b Online banking:c = $9 11 10 9 8 7 6 5 4 3 2 1 0 0123456789 1112131415 Monthly cost ($) Number of monthly bills

7. p. 122 #37 Checking account:c = $3 + $0.40b Online banking:c = $9 11 10 9 8 7 6 5 4 3 2 1 0 0123456789 1112131415 Monthly cost ($) Number of monthly bills

8. p. 122 #37 Checking account:c = $3 + $0.40b Online banking:c = $9 11 10 9 8 7 6 5 4 3 2 1 0 0123456789 1112131415 Monthly cost ($) Number of monthly bills

9. p. 122 #37 Checking account:c = $3 + $0.40b Online banking:c = $9 11 10 9 8 7 6 5 4 3 2 1 0 0123456789 1112131415 Monthly cost ($) Number of monthly bills

10. p. 122 #37 b)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 0123456789 1112131415 Monthly cost ($) Number of monthly bills

11. p. 122 #37 b)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 0123456789 1112131415 Monthly cost ($) Number of monthly bills

12. p. 122 #37 b)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 0123456789 1112131415 Monthly cost ($) Number of monthly bills Intersection = (15, 9)

13. p. 122 #37 b)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.

14. p. 122 #37 c)If you pay about 12 bills per month, which service should you choose? Explain

15. 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.

16. Homework p.122 #44, 45, 55