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).
this did not help because it dose not show which graph it is.
The correct graph that models Kristine's savings is the one 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)." This is because the graph shows that as the amount Kristine earns (x) increases, the amount she saves (y) also increases. The points (20, 0) and (25, 5) indicate that when Kristine earns $20, she saves $0, and when she earns $25, she saves $5. This pattern of increasing savings for increasing earning matches the given scenario.
The correct graph that models Kristine's savings is the one with the line going through points (5, 100) and (10, 200).
To understand why, let's break down the given information. It says that each time Kristine gets paid, she spends $20 and saves the rest. This means that the amount she saves depends on the amount she earns.
In the first option, the line goes through points (5, 100) and (10, 200). This means that when Kristine earns $5, she saves $100, and when she earns $10, she saves $200. This matches the given information since she spends $20 each time, which means she saves the remaining money after spending.
The slope of the line can be determined by calculating the change in y divided by the change in x. In this case, the change in y (savings) is $200 - $100 = $100, and the change in x (money earned) is $10 - $5 = $5. So, the slope is $100/$5 = 20.
Since Kristine spends $20 each time and saves the rest, the line with a slope of 20 represents her savings accurately.
Clearly
y = x - 20
all you have to do is check which ordered pairs satisfy this equation. I see only one such choice.