Writing Equations from Tables: Key Concepts and Techniques

This video tutorial explains how to write equations from tables by identifying relationships between variables. It covers determining dependent and independent variables, and explores using addition, multiplication, division, and subtraction to find equations. The tutorial uses examples involving cookies and batches to illustrate these concepts, and concludes with a practical application of the equations.

What is the first step in writing equations from tables?

• Identify the dependent and independent variables

• Multiply the values

• Subtract the values

• Add the values

In the cookies example, which variable is labeled as Y?

• Cookies made

• Number of ingredients

• Batches of cookies

• Time taken

Why was addition ruled out as the relationship between batches of cookies and cookies made?

• Because multiplication was easier

• Because subtraction was more accurate

• Because division was more appropriate

• Because adding 13 did not work for all parts of the table

What is the correct equation for the relationship between batches of cookies and cookies made?

• Y = X + 14

• Y = 14X

• Y = X / 14

• Y = X - 14

What is the relationship between X and Y in the cookies example?

• X is divided by 14 to get Y

• X is multiplied by 14 to get Y

• X is subtracted from Y

• X is added to Y

What should you do after deriving the equation from the table?

• Change the variables

• Ignore the table

• Assume it is correct

• Check if it works for all parts of the table

In the new example, what operation is considered when the dependent variable is smaller than the independent variable?

• Subtraction or division

• Multiplication by a number equal to one

• Multiplication by a number greater than one

• Addition

What does multiplying by a fraction or decimal less than one result in?

• A smaller product

• A negative product

• A larger product

• An equal product

What is the equation derived from the new example where the dependent variable is smaller?

• Y = X - 5

• Y = X + 5

• Y = X / 5

• Y = X * 5

If X is 100 in the new example, what is the value of Y?

• 25

• 50

• 20

• 5