Kaia's Journey: Distance and Rotations

The video tutorial explains Kaia's bicycle journey towards a tree, focusing on the relationship between the number of tire rotations and the distance to the tree. It covers how to calculate the initial distance to the tree, the distance traveled per rotation, and the total rotations needed to reach the tree. The tutorial also discusses these concepts in a graphical context, highlighting the y-intercept, slope, and x-intercept of the line representing Kaia's journey.

What is the relationship between the number of tire rotations and Kaia's distance to the tree?

• The distance decreases with more rotations.

• The distance increases with more rotations.

• The distance remains constant regardless of rotations.

• The distance fluctuates randomly with rotations.

How far was Kaia from the tree initially?

• 32.5 meters

• 12.5 meters

• 22.5 meters

• 2.5 meters

What is the distance Kaia travels with each tire rotation?

• 5 meters

• 10 meters

• 2.5 meters

• 1 meter

How many total rotations did it take for Kaia to reach the tree?

• 14 rotations

• 12 rotations

• 13 rotations

• 15 rotations

What does the y-intercept represent in the context of Kaia's journey?

• The speed of the bicycle

• The number of rotations needed

• The total distance traveled

• The initial distance from the tree

What is the slope of the line representing Kaia's journey?

• -2.5 meters per rotation

• 10 meters per rotation

• -10 meters per rotation

• 2.5 meters per rotation

What does the x-intercept represent in the graph of Kaia's journey?

• The point where Kaia reaches the tree

• The maximum distance from the tree

• The average speed of Kaia

• The point where Kaia starts

If Kaia's tire rotates 16 times, how far is she from the tree?

• 10 meters

• 2.5 meters

• 0 meters

• 5 meters

What happens to the distance from the tree as the number of rotations increases?

• It increases by 10 meters per rotation.

• It remains the same.

• It decreases by 2.5 meters per rotation.

• It increases by 2.5 meters per rotation.

What is the significance of the constant rate in Kaia's journey?

• It means the number of rotations is unpredictable.

• It means the speed of the bicycle changes.

• It means the distance per rotation is variable.

• It means the distance per rotation is constant.