A cheerleading squad is selling car decals as a fundraiser. The total dollar amount of sales, y, of x decals sold is represented by the following equation. y = 2.5x
Create a graph to represent this proportional relationship.
To create a graph that represents the relationship between the total dollar amount of sales (y) and the number of car decals sold (x), we can plot several points on a coordinate grid using the given equation y = 2.5x.
Let's choose some random values for the number of car decals sold (x) and calculate the corresponding total sales amount (y):
If x = 0, then y = 2.5(0) = 0. So one point on the graph will be (0, 0).
If x = 1, then y = 2.5(1) = 2.5. Another point on the graph will be (1, 2.5).
If x = 2, then y = 2.5(2) = 5. A third point on the graph will be (2, 5).
We can continue this process to find more points, but three points will be sufficient for now.
Now, let's plot these points on a graph:
- Start by drawing a coordinate grid, labeling the x-axis as "Number of Car Decals Sold" and the y-axis as "Total Dollar Amount of Sales."
- Mark the x-axis at intervals of 1, starting from zero.
- Mark the y-axis at intervals of 2 (since the equation is y = 2.5x, and 2.5 rounds to 2), starting from zero.
- Plot the point (0, 0) at the origin.
- Plot the point (1, 2.5) slightly above and to the right of (0, 0).
- Plot the point (2, 5) slightly above and to the right of (1, 2.5).
After plotting these points, you will see that they all lie on a straight line passing through the origin. This line represents the proportional relationship between the number of car decals sold (x) and the total dollar amount of sales (y).
Here's a visual representation of the graph:
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6 +-----------------------------------+
| \
4 +---+ \
| \
2 +---+ +---*
| /
0 +-----------------------------------+
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0 1 2 (x-axis)
This graph shows how the total dollar amount of sales (y) increases proportionally with the number of car decals sold (x).
okay could you provide me the coordinates for answer
Certainly! Here are the coordinates for the three points we discussed:
(0, 0)
(1, 2.5)
(2, 5)
These coordinates represent the number of car decals sold (x) and the corresponding total dollar amount of sales (y) for each point on the graph.
would the answer have a straight line throughout the origin
Apologies for any confusion. If the equation is y = 2.5x, then the relationship between the number of car decals sold (x) and the total dollar amount of sales (y) will indeed form a straight line passing through the origin (0,0).
Here is the corrected representation of the graph:
```
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12 +---------------------------------------------------+
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10 +---------------------------------------------------+
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8 +---------------------------------------------------+
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6 +---------------------------------------------------+
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4 +---------------------------------------------------+
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2 +---------------------------------------------------+
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0 +---------------------------------------------------+
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0 1 2 3 (x-axis)
```
This graph shows how the total dollar amount of sales (y) increases proportionally with the number of car decals sold (x), forming a straight line passing through the origin.
To create a graph representing the proportional relationship between the total sales of car decals (y) and the number of decals sold (x), you can use a coordinate plane.
1. Choose a suitable scale for the x and y-axis. Since the equation states y = 2.5x, it means that for every 1 decal sold, the total sales would be $2.5. So, you can choose a scale of 1 unit on the x-axis to represent 1 decal, and 1 unit on the y-axis to represent $2.5.
2. Label the x-axis as "Number of Decals Sold" and the y-axis as "Total Sales ($)".
3. Starting from the origin (0, 0), plot a point at coordinates (1, 2.5). This represents 1 decal sold and $2.5 in total sales.
4. Draw a straight line passing through the point (1, 2.5). Since the equation is y = 2.5x, the line will have a positive slope (2.5) and pass through the origin.
5. Extend the line in both directions to include additional points. For example, if you extend the line to the right, you can plot another point at (2, 5) which represents 2 decals sold and $5 in total sales. Similarly, you can extend the line to the left and plot points such as (-1, -2.5) to represent negative values.
6. Connect the points on the graph with a straight line.
The resulting graph will be a straight line passing through the origin with a positive slope of 2.5. This represents the proportional relationship between the total sales and the number of decals sold.