The Sugar Sweet Company is going to transport its sugar to market. It will cost 4550 to rent trucks, and it will cost an additional 175 for each ton of sugar transported.
Let c represent the total cost (in dollars), and let s represent the amount of sugar (in tons) transported. Write an equation relating c to s , and then graph your equation using the axes below.
c = 4550 + 175s
However, we cannot graph your data.
To write an equation relating the total cost (c) to the amount of sugar transported (s), we can use the given information.
The cost of renting the trucks is $4550, and an additional $175 is charged for each ton of sugar transported.
Therefore, the equation relating c to s can be written as:
c = 4550 + 175s
To graph this equation, we can use the given axes:
The x-axis can represent the amount of sugar transported (s) in tons.
The y-axis can represent the total cost (c) in dollars.
Plotting the equation on the graph:
1. Locate the y-intercept: When s = 0, the cost (c) is $4550. So plot the point (0, 4550).
2. Determine another point by substituting a value for s. For example, if we assume s = 10, then the equation becomes:
c = 4550 + 175(10) = 4550 + 1750 = 6300
So plot the point (10, 6300).
3. Draw a straight line through the two plotted points to represent the equation c = 4550 + 175s.
This will be the graph of the equation relating c to s.
To write an equation relating the total cost (c) to the amount of sugar transported (s), we need to consider two parts of the total cost:
1. The cost of renting trucks: This is a fixed cost of $4550.
2. The cost of transporting sugar: This cost is directly proportional to the amount of sugar transported. We are given that it costs an additional $175 for each ton of sugar transported.
So, the equation can be written as follows:
c = 4550 + 175s
To graph this equation, we can use a coordinate plane with the x-axis representing the amount of sugar transported (s) and the y-axis representing the total cost (c).
1. Assign a suitable scale to each axis. For example, you could set a unit of 1 ton for the x-axis and a unit of $1000 for the y-axis.
2. Plot a point on the graph for the fixed cost of renting trucks, which is $4550. This point will be (0, 4550) since no sugar has been transported yet.
3. To plot more points, we can use the additional cost per ton of sugar transported. For example, if we transport 1 ton of sugar, the additional cost would be 1 * 175 = $175. So, the new point would be (1, 175 + 4550).
4. Connect the points with a straight line to represent the relationship between the total cost and the amount of sugar transported.
Keep in mind that the graph will have positive slope, indicating that as the amount of sugar transported increases, the total cost increases.