Tree and Tower Height Functions

The video tutorial explains Ify's project of building a tree tower, detailing the growth rates of both the tree and the tower. It introduces three functions: A(m) for the tree's height, B(m) for the tower's height, and C(m) for the total height from the ground to the top of the tower. The tutorial walks through the calculations for each function, demonstrating how to derive the formulas based on the given growth rates and initial heights.

What is the initial height of the tree in Ify's project?

• 10 meters

• 5 meters

• 2 meters

• 7 meters

At what rate does the tree grow each month?

• 0.2 meters

• 0.5 meters

• 0.3 meters

• 0.1 meters

What is the formula for the tree's height function A(m)?

• 5 + 0.2m

• 2 + 0.1m

• 5 + 0.1m

• 2 + 0.2m

What is the initial height of the tower in Ify's project?

• 10 meters

• 7 meters

• 2 meters

• 5 meters

At what rate does the tower grow each month?

• 0.2 meters

• 0.1 meters

• 0.5 meters

• 0.3 meters

What is the formula for the tower's height function B(m)?

• 2 + 0.1m

• 5 + 0.2m

• 5 + 0.1m

• 2 + 0.2m

What does the function C(m) represent?

• The growth rate of the tree

• The total height from the ground to the top of the tower

• The height of the tower

• The height of the tree

How do you calculate C(m) in terms of A(m) and B(m)?

• A(m) * B(m)

• A(m) + B(m)

• A(m) / B(m)

• A(m) - B(m)

What is the combined formula for C(m) in terms of m?

• 5 + 0.2m

• 7 + 0.3m

• 5 + 0.3m

• 7 + 0.2m

What is the total height of the tree and tower after 1 month?

• 7.3 meters

• 7.5 meters

• 7.1 meters

• 7.2 meters