# Completing a Table and Make a Graph of Ratios and Rates

There are some equivalent ratios in the ratio table.

Ratio tables are made of two parts (x, y) that follow a certain rule.

The rules may be addition, subtraction, multiplication, or division that repeats in the table.

**A step-by-step guide to **Completing a Table and Making a Graph of Ratios and Rates

- Begin by defining the variables and units of measurement for the ratios and rates you will be graphing.
- Create a table with columns for the variables and rows for the data.
- Collect and record the data for each variable in the appropriate cells of the table.
- Calculate the ratios or rates based on the data in the table. These can be expressed as fractions or decimals.
- Choose an appropriate type of graph to represent the data, such as a bar graph, line graph, or scatter plot.
- Label the x-axis and y-axis with the appropriate variables and units of measurement.
- Plot the data points on the graph using the ratios or rates calculated in step 4.
- Add a title to the graph that clearly describes the data being represented.
- Finally, analyze the graph and make conclusions about the relationship between the variables.

### Ratio Tables – Examples 1

Cups of tomatoes

Cups of hot peppers

To make the chili sauce, Kate uses 6 cups of tomatoes for every 2 cups of hot peppers. Complete the table and make a graph.

**Solutions:Step 1: **Kate uses 6 cups of tomatoes for every 2 cups of hot peppers. So, write it as a rate. \(6÷3=2, 12÷3=4, 18÷3=6, 24÷3=8\)

**Step 2:**Write them as a ratio. 6:2, 12:4, 18:6, 24:8

**Step 3:**Make a graph and plot these pairs of ratios on the graph.

**Ratio Tables – Examples 2**

Kevin goes hiking every weekend. He always runs 3 miles lengths at a slow pace for every 1.5-mile length at a fast pace. Complete the table and make a graph.

**Solutions:Step 1: **He always runs 3 miles lengths at a slow pace for every 1.5-mile length at a fast pace. So, write it as a rate. \(3÷2=1.5, 6÷2=3, 9÷2=4.5, 12÷2=6\)

**Step 2:**Write them as a ratio. 3:1.5, 6:3, 9:4.5, 12:6

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