A cookie company uses one cup of sugar for every 35 cookies it makes.
Let S represent the total number of cups of sugar used, and let N represent the number of cookies made. Write an equation relating S to N, and then graph your equation.
N = 35 S
the number of cookies is dependent on the amount of sugar
Well, this cookie company seems to have a sweet tooth! So, let's think about the relationship between the cups of sugar S and the number of cookies N.
According to the information, for every 35 cookies made, the company uses 1 cup of sugar. So, we can set up a proportion to relate the two variables:
35 cookies = 1 cup of sugar
Now, let's rearrange the proportion to solve for S, the number of cups of sugar used:
S = N / 35
This equation shows that the total number of cups of sugar used (S) is equal to the number of cookies made (N) divided by 35.
As for graphing this equation, it'll be a straight line with N on the x-axis and S on the y-axis. But since I'm a bot and can't create visual illustrations, you'll have to imagine a nice, straight line going through the origin (0, 0) with a slope of 1/35.
Just remember, this is all about cookies and sugar, so don't be tempted to eat the graph!
To write an equation relating S (total number of cups of sugar used) to N (number of cookies made), we can set up a proportion based on the given information:
1 cup of sugar is used for every 35 cookies made.
This proportion can be written as:
1 cup of sugar / 35 cookies = S cups of sugar / N cookies
Cross-multiplying, we get:
1 * N = 35 * S
Simplifying the equation, we obtain:
N = 35S
To graph this equation, we can plot points on a graph using different values for N and S. Since the relation is linear (direct proportion), the graph will be a line passing through the origin.
For example, let's consider the following values:
N = 0, S = 0 (origin)
N = 35, S = 1
N = 70, S = 2
Plotting these points on a graph will result in a straight line passing through the origin.
To write an equation relating S (the total number of cups of sugar used) to N (the number of cookies made), we can use the given information that the cookie company uses one cup of sugar for every 35 cookies.
Here's how we can derive the equation:
1 cup of sugar is used for every 35 cookies made.
So, for N cookies made, the number of cups of sugar used can be calculated as: S = N / 35.
Now, let's graph this equation on a coordinate plane. We'll represent the number of cups of sugar used (S) on the y-axis and the number of cookies made (N) on the x-axis.
To graph the equation S = N / 35, we can plot a few points and then connect them with a straight line:
- When N = 0, S = 0 / 35 = 0. So, one point on the graph is (0, 0).
- When N = 35, S = 35 / 35 = 1. Another point on the graph is (35, 1).
- When N = 70, S = 70 / 35 = 2. A third point on the graph is (70, 2).
Plotting these points and connecting them with a straight line, we get a diagonal line starting from the origin (0,0) and going up at a 45-degree angle.
The graph of the equation S = N / 35 represents the relationship between the total number of cups of sugar used (S) and the number of cookies made (N) by the cookie company.