How is a ratio table used to graph equivalent ratios?
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To graph equivalent ratios using a ratio table, you can follow these steps:
1. Create a ratio table: Start by creating a table with two columns. In the first column, write down the given values or multiples of the given ratio. In the second column, write down the corresponding values that are obtained by applying the same multiple to the other term of the ratio.
2. Simplify the ratios: Simplify each ratio in the table by dividing both terms by their greatest common divisor. This step ensures that you have equivalent ratios.
3. Plot the points: Take the simplified ratios from the table and plot them on a coordinate plane. Treat the first term of the ratio as the x-coordinate and the second term as the y-coordinate.
4. Connect the points: Once you have plotted all the points, connect them with a line or a curve. This line represents the graph of the equivalent ratios.
By following these steps, you can use a ratio table to graph equivalent ratios.
A ratio table can be used to graph equivalent ratios by organizing the information in a systematic way. Here's how you can use a ratio table to do this:
Step 1: Identify the given ratio. Let's say we have a given ratio of 2:3.
Step 2: Create a ratio table. Start by writing the given ratio in the first row of the table. In the second row, write the same ratio but multiply or divide both terms by the same number to create an equivalent ratio. In this example, we can multiply both terms by 2 to get the equivalent ratio of 4:6.
Step 3: Continue creating equivalent ratios. In the subsequent rows, multiply or divide both terms by the same number to keep generating equivalent ratios. For instance, in the third row, we can multiply both terms by 3 to get the ratio of 6:9, and so on.
Step 4: Plot the points. On a graph, assign the values of the first term (numerator) to the x-axis and the values of the second term (denominator) to the y-axis. Plot each pair of values from the ratio table on the graph.
Step 5: Connect the points. Use a straight line to connect the plotted points on the graph.
By following these steps, you can use a ratio table to generate equivalent ratios and graph them, helping visualize the relationship between different ratios.