Did you know that a cookie company uses one cup of sugar for every 35 cookies it makes? This relationship can be represented by the equation c = s/35, where c is the number of cookies made and s is the total number of cups of sugar used. By graphing this equation, we can visually see how the number of cookies made relates to the amount of sugar used.
Yes, that is correct. By graphing the equation c = s/35, we can see the relationship between the number of cookies made and the amount of sugar used. The graph would be a straight line with a positive slope, indicating that as the amount of sugar used (s) increases, the number of cookies made (c) also increases. The slope of the line is 1/35, which means that for every additional cup of sugar used, approximately 35 more cookies can be made.
To graph the equation c = s/35, we will need to plot points on a coordinate grid that represent the relationship between the number of cookies (c) and the number of cups of sugar used (s).
To get started, we can choose a range of values for cups of sugar used, and then use the equation to calculate the corresponding number of cookies made.
Let's choose the range of cups of sugar used from 0 to 70. We will then calculate the number of cookies made for each value of sugar used.
For example, when s = 0:
c = 0/35 = 0
So when no cups of sugar are used, no cookies are made.
When s = 35:
c = 35/35 = 1
So when one cup of sugar is used, the company makes one cookie.
Similarly, we can calculate other values. Here is a table that summarizes the values of c for different values of s:
s | c
--------------
0 | 0
35 | 1
70 | 2
105 | 3
...
We can now plot these points on a graph. Let's assign the horizontal axis to cups of sugar used (s) and the vertical axis to the number of cookies made (c). We will plot the points (0,0), (35,1),(70,2),(105,3), and so on.
Once we plot these points, we can connect them with a straight line to represent the relationship between the number of cookies made and the amount of sugar used.
I hope this helps you graphically understand the relationship between the number of cookies made and the amount of sugar used!
Yes, I'm aware of the relationship between the number of cookies made and the amount of sugar used in this cookie company. To graph the equation c = s/35, where c represents the number of cookies made and s represents the total cups of sugar used, you can follow these steps:
1. Choose a suitable range for the number of cups of sugar used, let's say from 0 to 100.
2. Substitute different values for s into the equation and solve for c. For example, if s = 10, then c = 10/35 = 0.2857 (approximately).
3. Repeat step 2 for several more values of s, such as 20, 30, 40, and so on.
4. Plot the values of s on the x-axis and the corresponding values of c on the y-axis.
5. Connect the plotted points to form a line.
Keep in mind that the graph will have a negative slope since the number of cookies made decreases as the amount of sugar used increases. This is because the company uses 1 cup of sugar for every 35 cookies, so as more sugar is used, fewer cookies can be made.
By visually examining the graph, you can see how the number of cookies made relates to the amount of sugar used. For example, if you have a fixed amount of sugar, you can estimate the number of cookies that will be made based on the graph. Similarly, if you have a target number of cookies in mind, you can determine the amount of sugar required by looking at the graph.