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Each time Kristine gets paid, she spends $20 and saves the rest. If the amount Kristine earns is represented by x and the amount she saves is represented by y, which graph models her savings? A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (5, 100) and (10, 200). A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 1) and (40, 2). A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (0, 20) and (10, 30). A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 0) and (25, 5).

Question

Each time Kristine gets paid, she spends $20 and saves the rest. If the amount Kristine earns is represented by x and the amount she saves is represented by y, which graph models her savings? A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (5, 100) and (10, 200). A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 1) and (40, 2). A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (0, 20) and (10, 30). A graph titled Kristine's Savings has money earned on the x-axis and money saved on the y-axis. A line goes through points (20, 0) and (25, 5).

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Solution

The correct graph would be the one that models the relationship y = x - 20, since Kristine saves her earnings (x) minus the $20 she spends.

Looking at the options:

  1. The line through points (5, 100) and (10, 200) represents the equation y = 20x, which is not correct.
  2. The line through points (20, 1) and (40, 2) represents the equation y = x/20, which is not correct.
  3. The line through points (0, 20) and (10, 30) represents the equation y = x + 20, which is not correct.
  4. The line through points (20, 0) and (25, 5) represents the equation y = x - 20, which is correct.

So, the correct graph is the one that goes through points (20, 0) and (25, 5).

This problem has been solved

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