Vine Growth and Linear Equations

The video tutorial explains how to model the growth of a vine using a linear equation. The vine starts at a length of 8 inches and grows by 2 inches each day. The tutorial breaks down the components of the equation, identifying the constant and variable parts, and guides viewers through matching the correct equation to given choices. The correct equation is identified as y = 2x + 8, where y represents the length of the vine and x represents the number of days.

What is the initial length of the vine in Annabelle's model?

• 10 inches

• 8 inches

• 6 inches

• 12 inches

By how many inches does the vine grow each day?

• 4 inches

• 1 inch

• 2 inches

• 3 inches

What is the constant term in the equation modeling the vine's growth?

• 2

• 8

• x

• y

Which variable is used to represent the number of days in the equation?

• x

• a

• y

• z

Which of the following equations correctly models the vine's growth?

• y = 2x + 8

• y = 2 + 8x

• y = 8x + 2

• y = 2 + 8

Why is the equation y = 8x + 2 incorrect?

• The 2 should be multiplied by x.

• The equation should start with y = 2x.

• The equation should end with + 10.

• The 8 should not be multiplied by x.

What is the result of the equation y = 2 + 8?

• 2

• 8

• 16

• 10

Why is the equation y = 2 + 8x incorrect?

• The 8 should not be multiplied by x.

• The 2 should be added to x.

• The equation should start with y = 8x.

• The equation should end with + 2.