## How can you use tables graphs and equations to represent proportional situations?

How can you use tables, graphs, and equations to represent proportional situations? Sample answer: If the ratio between one quantity and another is constant, you can use tables, graphs, and equations of the form y = kx to represent a proportional relationship between the quantities.

**How can you represent a proportional relationship using an equation?**

A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx. If an equation in a different form can be rewritten as above, then it is a proportional relationship.

**What does it mean for an equation to be proportional?**

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if: y=kx. for some constant k , called the constant of proportionality .

### How is using a graph to represent a proportional relationship like using a table How is it different?

If you can draw a straight line through all three points and the line passes through the origin, (0, 0), the ordered pairs represent a proportional relationship. Solution The points on the graph represent a proportional relationship. Show that the ordered pairs in the table represent a proportional relationship.

**What is a proportional table?**

In a proportional table, the y-value divided by the x-value in that row is the same for every row (that is, the ratio y/x is constant). However, in a non-proportional table, y/x is not constant.

**How can u represent a proportional relationship using an equation?**

A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

## What is the equation for proportional relationships?

Proportional Relationships in Algebraic Formulas We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other. The k here is called the constant of proportionality, sometimes known as the unit rate.

**Which of the following is an advantage to using tables?**

Tables provide fast and efficient readability across issues displayed in rows and columns. They can serve as a common means for benefit-risk communications because of their simple structure, flexibility and the ease with which they can be adapted.

**What can you observe about the table and graph Is it linear?**

Linear functions graph as a straight line, no curves allowed. So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function.