A cookie company uses one cup of sugar for every cookies it makes.

Let represent the total number of cups of sugar used, and let represent the number of cookies made. Write an equation relating to , and then graph your equation using the axes below.

It would help if you proofread your questions before you posted them. Let what represent?

The equation relating the total number of cups of sugar used () to the number of cookies made () can be written as:

=

To graph this equation on the axes, we need to assign values to and plot the corresponding points.

Let's say we make cookies, we can calculate the amount of sugar used as follows:
= 1 ×
=

We can now plot the points representing different values of and on the graph. Here is a sample graph:

Axes:
X-axis: Number of cookies () ranging from 0 to a desired maximum value.
Y-axis: Total number of cups of sugar used () ranging from 0 to a desired maximum value.

Points:
For example, if we consider = 0, we have:
= 1 × 0
= 0
So, the point (0, 0) would be one of the points on the graph.

Similarly, for = 1, we have:
= 1 × 1
= 1
So, the point (1, 1) would be another point on the graph.

You can continue assigning values to and calculating for each value to plot more points on the graph. Once you have multiple points, you can connect them to form a line.

Note: The maximum values on the X and Y axes should be chosen based on the context of the problem.

To write an equation relating the total number of cups of sugar used () to the number of cookies made (), we can use the given information that the company uses one cup of sugar for every cookies it makes.

Since the company uses one cup of sugar for every cookies, we can say that the total cups of sugar used, , is equal to the number of cookies made, . Mathematically, this equation can be written as:

=

Now, let's graph this equation using the axes below. However, I apologize, but as a text-based AI, I am unable to provide visual graphics. Instead, I can guide you through the process of how to create the graph.

To graph the equation, you need to create a coordinate system with two axes: the horizontal axis (x-axis) representing the number of cookies made () and the vertical axis (y-axis) representing the total cups of sugar used (). Here are the steps:

1. Choose a scale for each axis. For example, you could label the x-axis from 0 to 10 in increments of 1, and the y-axis from 0 to 10 in increments of 1.

2. Plot the points on the graph. For each value of , determine the corresponding value of using the equation we derived earlier. For example, if is 2, then would be 2.

3. Connect the plotted points with a straight line. Since the equation is linear, the graph will be a straight line passing through the plotted points.

Please note that without specific values for the number of cookies made (), it is not possible to provide a specific graph. However, by following the steps outlined above, you should be able to graph the equation for any given values of .