A cookie company uses one cup of sugar for every 35 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.
your typos make it unclear whether you want
y = 35x
or
y = x/35
To write an equation relating the total number of cups of sugar used to the number of cookies made, we need to determine the relationship between these two variables.
Given that the cookie company uses one cup of sugar for every 35 cookies, we can express this relationship as a ratio. The ratio of cups of sugar to cookies is 1:35.
To find the equation, we can set up a proportion using this ratio:
1 cup of sugar / 35 cookies = x cups of sugar / y cookies
Simplifying the proportion, we get:
1/35 = x/y
Now, we can manipulate this equation to solve for x in terms of y:
1y = 35x
Simplifying further:
y = 35x
In this equation, y represents the total number of cups of sugar used, and x represents the number of cookies made.
To graph this equation, we can plot points on a graph where the x-coordinate represents the number of cookies made, and the y-coordinate represents the total number of cups of sugar used.
For example, if the company makes 70 cookies, using our equation, we can calculate the total number of cups of sugar used:
y = 35x
y = 35 * 70
y ≈ 2. Buy
So, when x = 70, y ≈ 2.
We can plot this point (70, 2) on our graph. Similarly, calculate more points using different values of x and plot them on the graph to sketch the graph of the equation.
Note that the graph will be a straight line passing through the origin, with a slope of 35.
To write the equation relating the total number of cups of sugar used, denoted by "x", and the number of cookies made, denoted by "y", we can use the given information that one cup of sugar is used for every 35 cookies.
This means that for every 35 cookies made, one cup of sugar is used. So as the number of cookies increase by 35, the number of cups of sugar increases by 1.
Therefore, the equation relating x and y is:
x = y/35
To graph this equation, we choose values for y and calculate the corresponding values for x.
For example, if 70 cookies are made, the corresponding cups of sugar used would be 70/35 = 2 cups.
Using this information, we can create a table:
y | x
---------
0 | 0
35 | 1
70 | 2
105 | 3
Now, let's plot these points on a graph.