X = # of months Y = Account balance Plan A Y = 400 + 20x
Plan B Y = 600+10x
Task A2
400 + 20X = 600 + 10 X 400 + 20x-400 = 600 + 10x-400 20x-10x = 200+10X-10x 10x = 200 10x/10 = 200/10 x = 20 In 20 months both savings plans will have an $800 balance. X 0 4 8 10 12 15 18 20 22 24 26 Plan A: Y=400+20x 400 480 560 600 640 700 760 800 840 880 920 Plan B: Y = 600+10x 600 640 680 700 720 750 780 800 820 840 860
Task A3
Savings Acct Comparison
1000 900
Y Axis = Account Balance
800 700 600 500 400 300 200 100 0 0
Y intercept (0, 600)
Solution Point (20, 800)
Y intercept (0, 400)
5
10
15
20
25
30
X Axis = Number of Months
Plan A: Y=400+20x Plan B: Y = 600+10x
Task A3A1 Using the graph we can determine that at 14 months Plan B will have the greatest balance. This is apparent since the Plan B line is above the Plan A line on the graph. Task A3A2 Using the graph we can determine that at 23 months Plan A will have the greatest balance. This is apparent since the Plan A line is above the Plan B line on the graph. Task A4 Quadrant I is the only relevant quadrant in the graph. This is due to the fact that one would not have negative months or negative account balances in this problem.
