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.

Question

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.