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NAME DATE PERIOD Lesson 5 Problem-solving Practice Graph Proportional Relationships 1. BAKING Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours. Determine whether the number
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How to fill out graph proportional relationships

01
Start by labeling the x-axis and y-axis of your graph. The x-axis represents the independent variable, while the y-axis represents the dependent variable.
02
Determine the range of values for the independent variable (x). Choose a set of x-values that are appropriate for your situation and evenly spaced.
03
Determine the relationship between the two variables. In a proportional relationship, the ratio between the dependent variable (y) and independent variable (x) remains constant. This constant ratio is called the constant of proportionality.
04
Calculate the y-values for each x-value using the constant of proportionality. Multiply each x-value by the constant of proportionality to obtain the corresponding y-value.
05
Plot the points on the graph. For each x-value, locate the corresponding y-value on the y-axis and mark a point.
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Connect the points with a straight line. Draw a line that passes through all the plotted points. This line represents the graph of the proportional relationship.
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Interpret the graph. The slope of the graph indicates the constant of proportionality. A steeper slope represents a larger constant of proportionality.
08
Extend the graph if necessary. If you need to find additional y-values for larger or smaller x-values, use the same constant of proportionality and continue the line beyond the plotted points.

Who needs graph proportional relationships?

01
Graph proportional relationships are useful for various individuals and professions, including:
02
- Mathematicians and statisticians who study quantitative relationships between variables.
03
- Economists who analyze supply and demand curves, cost functions, and production functions.
04
- Engineers who work with systems that exhibit proportional relationships, such as circuitry and control systems.
05
- Scientists who investigate physical phenomena and want to visualize the relationships between different variables.
06
- Business analysts and marketers who want to understand customer behavior and analyze market trends.
07
- Teachers who want to teach and illustrate the concept of proportional relationships to their students.
08
- Students who are learning about proportional relationships and need to practice graphing them.
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Graph proportional relationships represent the relationship between two variables that change proportionally to each other.
Individuals or entities who are involved in activities that involve proportional relationships must file graph proportional relationships.
Graph proportional relationships can be filled out by inputting the values of the variables and plotting them on a graph.
The purpose of graph proportional relationships is to visually represent the proportional relationship between two variables.
Graph proportional relationships must include the values of the variables and the plotted points on the graph.
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