Question

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.

Answer 1

To represent the proportional relationship described by the equation \( y = 2.5x \), you can create a graph using the following steps:

1. **Identify Points**: You can choose a range of values for \( x \) (the number of decals sold) and calculate the corresponding \( y \) values (total dollar amount of sales).

Here are a few sample points:
- If \( x = 0 \):
\[
y = 2.5(0) = 0
\]
- If \( x = 1 \):
\[
y = 2.5(1) = 2.5
\]
- If \( x = 2 \):
\[
y = 2.5(2) = 5
\]
- If \( x = 3 \):
\[
y = 2.5(3) = 7.5
\]
- If \( x = 4 \):
\[
y = 2.5(4) = 10
\]
- If \( x = 5 \):
\[
y = 2.5(5) = 12.5
\]

2. **Plot the Points**: On a graph, plot the points (0,0), (1,2.5), (2,5), (3,7.5), (4,10), and (5,12.5) on a coordinate system where the x-axis represents the number of decals sold and the y-axis represents the total dollar amount of sales.

3. **Draw the Line**: Since this relationship is proportional (linear), you can connect the points with a straight line that extends in both directions.

4. **Label the Axes**:
- Label the x-axis as "Number of Decals Sold (x)".
- Label the y-axis as "Total Sales ($, y)".
- You might also want to include a title for the graph, such as "Sales from Car Decal Fundraiser".

5. **Add Scale**: Ensure to mark the appropriate scale on both axes to account for the values.

Here's a simple outline of how the graph will look:

```
y
|
12.5| *
|
10 | *
|
7.5| *
|
5 |*
|
2.5|*
|
0 |___________________ x
0 1 2 3 4 5
```

Note: For an accurate visual representation, you can use graphing software or graph paper to plot these points and draw the line more precisely.