Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 700 liters in the pond to start.
Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T, and then graph your equation.
I get W=25T+700
How do I graph this
Well, to graph this equation, you can start by plotting a few points on a coordinate plane. Let's choose some values for T and find the corresponding values for W.
Let's say T = 0. If no water has been added yet, then W = 25(0) + 700 = 700. So, the coordinates for this point would be (0, 700).
Now let's choose T = 1. In one minute, they would have added 25 liters of water. So, W = 25(1) + 700 = 725. The coordinates for this point would be (1, 725).
Let's do one more. If T = 2, then W = 25(2) + 700 = 750. The coordinates for this point would be (2, 750).
Now that we have a few points, you can plot them on your coordinate plane and then connect them with a straight line. The X-axis represents T (minutes) and the Y-axis represents W (liters). Have fun!
To graph the equation relating W (amount of water) to T (number of minutes), follow the steps below:
1. Set up a coordinate system on a piece of graph paper or using a graphing tool on a computer.
2. Label the horizontal axis as T (number of minutes) and the vertical axis as W (amount of water).
3. Choose a suitable scale for each axis. For instance, you could let each horizontal unit represent 5 minutes and each vertical unit represent 100 liters.
4. Plot the initial point (0, 700) on the graph. This corresponds to starting with 700 liters of water.
5. Determine additional points to plot by substituting different values of T into the equation and calculating corresponding values for W. For example, when T = 1 minute, W = 25(1) + 700 = 725. Plot this point (1, 725) on the graph.
6. Repeat step 5 for several more values of T, such as T = 2, 3, 4, etc., to obtain additional points.
7. Connect the plotted points with a straight line. This line represents the relationship between T and W for this specific scenario, where water is added at a rate of 25 liters per minute.
8. Optionally, you may label the line with the equation it represents for clarity.
The resulting graph will show how the amount of water in the pond changes over time as water is added.
To graph the equation W = 25T + 700, you can follow these steps:
Step 1: Identify the variables
In the equation, W represents the amount of water in the pond, and T represents the number of minutes that water has been added.
Step 2: Choose values for T
Select a few values for T, such as 0, 1, 2, 3, and so on, to correspond with different time intervals. These values will help you determine corresponding values for W.
Step 3: Calculate corresponding values for W
Plug the chosen values for T into the equation and solve for W. For example, if you choose T = 0, then W = 25(0) + 700 = 700. Repeat this process for each value of T.
Step 4: Create a graph
On a coordinate plane, plot each pair of values (T, W) as a point. For example, the point (0, 700) represents the initial amount of water in the pond. Connect these points to form a straight line.
Step 5: Label the axes
Label the horizontal axis as T (number of minutes) and the vertical axis as W (amount of water in liters).
Step 6: Add labels and a title
Add labels to the axes (T and W) and give your graph a descriptive title, like "Water Amount in the Pond over Time".
Your graph should represent how the amount of water in the pond increases linearly over time with a slope of 25 and an initial value of 700.