Exploring Linear and Nonlinear Functions

The video tutorial explains how to find a missing value in a table to represent a linear equation. It begins by analyzing changes in x and y values, ensuring consistent increments for a linear relationship. The tutorial then demonstrates calculating the missing y value by applying the concept of consistent increments, resulting in a final value of 12.

What is the initial problem presented in the video?

• Finding the slope of a line

• Finding the intercept of a line

• Finding the missing value in a table

• Solving a quadratic equation

When x increases from 1 to 2, by how much does y increase?

• 2

• 3

• 1

• 1.5

What is the equivalent fraction of 3 in terms of halves?

• 12/2

• 3/2

• 6/2

• 9/2

What is the change in y when x increases from 2 to 3?

• 7/2

• 3/2

• 5/2

• 1/2

What must be true for a relationship to be linear?

• x must decrease by a constant amount when y increases by 1

• y must decrease by a constant amount when x increases by 1

• x must increase by a constant amount when y increases by 1

• y must increase by a constant amount when x increases by 1

If x increases by 5, by how much should y increase?

• 10/2

• 5/2

• 15/2

• 20/2

What is the starting value of y when x is 3?

• 3/2

• 6/2

• 12/2

• 9/2

What is the final value of y after increasing by 15/2?

• 9

• 12

• 18

• 15

What is the missing value in the table?

• 13

• 10

• 12

• 11