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?
To model Kristine's savings, we need to represent the relationship between the amount she earns (x) and the amount she saves (y).
We know that each time Kristine gets paid, she spends $20, which means she saves the remaining amount. Therefore, the equation representing her savings would be:
y = x - 20
Now, let's plot this equation on a graph. The x-axis represents the amount Kristine earns, and the y-axis represents the amount she saves.
To create a graph, we need to choose some values for x and calculate the corresponding y values based on the equation.
Let's assume Kristine earns $50, $100, $150, $200, $250, and $300. We will calculate the corresponding savings for each of these amounts.
For x = $50, y = 50 - 20 = $30.
For x = $100, y = 100 - 20 = $80.
For x = $150, y = 150 - 20 = $130.
For x = $200, y = 200 - 20 = $180.
For x = $250, y = 250 - 20 = $230.
For x = $300, y = 300 - 20 = $280.
Now, we can plot these points on the graph and connect them to create a line.
The graph will have points (50, 30), (100, 80), (150, 130), (200, 180), (250, 230), and (300, 280).
It will look like this:
```
| *
| *
y | *
^ | *
| | *
280 --|--------------*
| | *
| | *
230 --|--------*
| | *
| | *
180 --|--*
| |
| |
130 --
| |
| |
80 --
| |
| |
30 --
| |
| |
| |
| |
0 ------------------------------------->
50 100 150 200 250 300 x
```
To model Kristine's savings, we need to understand the relationship between the amount she earns and the amount she saves.
Given that Kristine spends $20 and saves the rest, we can express this relationship as:
Amount earned (x) = Amount spent ($20) + Amount saved (y)
Therefore, we can write the equation as:
x = $20 + y
To graph this equation, we can rearrange it to isolate y:
y = x - $20
Now, let's plot some points on a graph to see the relationship between x (the amount earned) and y (the amount saved). We'll assume Kristine earns $100.
If x = $100, then y = $100 - $20 = $80.
So, the point (x, y) = (100, 80) represents her earnings of $100 with $80 saved.
Plotting more points and connecting them will give us the graph that models Kristine's savings.