Understanding Equations from Tables

Mrs. D teaches how to write and graph equations from tables by identifying whether the relationship between X and Y is additive or multiplicative. She explains how to write equations for each type of relationship and demonstrates how to graph ordered pairs derived from these equations. The lesson includes a comparison of additive and multiplicative relationships, highlighting their differences in growth rates. The video concludes with a review of the steps involved in the process.

What type of relationship is it when you add the same value to X to get Y?

• Multiplicative

• Logarithmic

• Additive

• Exponential

In a multiplicative relationship, what operation is performed on X to get Y?

• Subtraction

• Division

• Addition

• Multiplication

If the relationship is additive and you add 3 to X, what is the equation for Y?

• Y = X + 3

• Y = X - 3

• Y = 3X

• Y = X/3

For a multiplicative relationship where you multiply X by 2, what is the equation for Y?

• Y = 2X

• Y = X - 2

• Y = X + 2

• Y = X/2

How can equations be useful when dealing with large X values?

• They make graphs look better

• They simplify calculations

• They complicate the process

• They are not useful

What is the ordered pair for X = 3 in an additive relationship where Y = X + 2?

• (3, 4)

• (3, 6)

• (3, 5)

• (3, 7)

What is the ordered pair for X = 5 in an additive relationship where Y = X + 2?

• (5, 7)

• (5, 9)

• (5, 6)

• (5, 8)

What is the ordered pair for X = 4 in a multiplicative relationship where Y = 2X?

• (4, 6)

• (4, 8)

• (4, 10)

• (4, 12)

How does the graph of a multiplicative relationship compare to an additive one?

• It increases at a slower rate

• It increases at the same rate

• It increases at a faster rate

• It decreases

What is the ordered pair for X = 5 in a multiplicative relationship where Y = 2X?

• (5, 8)

• (5, 11)

• (5, 10)

• (5, 9)