Brett opened a checking account. The graphs show how the balance changed over time.
Match each description with the appropriate graph.
Brett had an overdraft for several weeks. Then, he deposited just enough money to eliminate the overdraft.
Brett deposited money into his account and then, did nothing.
Brett withdrew money regularly until he had a large overdraft. Then, he deposited more money.
The horizontal axis is labeled as Time and the vertical axis is labeled as Account balance. In Graph 1, a line starts from a point on the vertical axis, first goes down, intersects the horizontal axis, enters the fourth quadrant, then goes up, again intersects the horizontal axis and enters the first quadrant again.
The horizontal axis is labeled as Time and the vertical axis is labeled as Account balance. In Graph 2, a line starts from a point on the vertical axis below the origin, moves parallel to the horizontal axis then goes up straight and moves parallel to the vertical axis then finally moves along the horizontal axis.
The horizontal axis is labeled as Time and the vertical axis is labeled as Account balance. In Graph 3, a line starts from the origin, first goes up to a point then moves parallel to the horizontal axis
1. Brett withdrew money regularly until he had a large overdraft. Then, he deposited more money. (Graph 1)
2. Brett deposited money into his account and then, did nothing. (Graph 2)
3. Brett had an overdraft for several weeks. Then, he deposited just enough money to eliminate the overdraft. (Graph 3)
1. Brett withdrew money regularly until he had a large overdraft. Then, he deposited more money. (Graph 1)
2. Brett deposited money into his account and then did nothing. (Graph 2)
3. Brett had an overdraft for several weeks. Then, he deposited just enough money to eliminate the overdraft. (Graph 3)
Based on the descriptions provided:
Graph 1 matches the description: Brett withdrew money regularly until he had a large overdraft. Then, he deposited more money.
Graph 2 matches the description: Brett deposited money into his account and then, did nothing.
Graph 3 matches the description: Brett had an overdraft for several weeks. Then, he deposited just enough money to eliminate the overdraft.
To match each description with the appropriate graph, let's analyze each description and compare them to the given graphs:
1. Brett had an overdraft for several weeks. Then, he deposited just enough money to eliminate the overdraft.
This means that the account balance initially went below zero (overdraft) and then, after some time, increased enough to reach zero.
The graph which matches this description is Graph 3. In Graph 3, the line starts from the origin (zero balance), goes up to a point (overdraft), then moves parallel to the horizontal axis until it intersects the horizontal axis again (deposit to eliminate the overdraft).
2. Brett deposited money into his account and then did nothing.
This description indicates that the account balance increased due to a deposit and then remained constant.
The graph which matches this description is Graph 2. In Graph 2, the line starts from a point on the vertical axis below the origin (deposit), moves parallel to the horizontal axis (balance remains constant), and then finally moves along the horizontal axis (no further activity).
3. Brett withdrew money regularly until he had a large overdraft. Then, he deposited more money.
The description tells us that the account balance first decreased (due to regular withdrawals), reaching a large overdraft. Later, more money was deposited to increase the balance.
The graph which matches this description is Graph 1. In Graph 1, the line starts from a point on the vertical axis, first goes down (withdrawals), intersects the horizontal axis (large overdraft), enters the fourth quadrant, then goes up (deposit), again intersects the horizontal axis (deposit), and enters the first quadrant again (increased balance).
Therefore, the matching descriptions for each graph are as follows:
- Graph 1: Brett withdrew money regularly until he had a large overdraft. Then, he deposited more money.
- Graph 2: Brett deposited money into his account and then did nothing.
- Graph 3: Brett had an overdraft for several weeks. Then, he deposited just enough money to eliminate the overdraft.