Understanding Tenant Distribution Functions

The video tutorial explains the concept of T(n), which models the number of tenants living on a specific floor of the Princess Tower in Dubai. It provides a detailed explanation of how to interpret T(n) and floor numbers, followed by example calculations to determine the number of tenants on various floors. The tutorial also analyzes different statements to identify the correct interpretation of T(n), concluding with the correct choice that matches the given problem.

What is the Princess Tower known for?

• Being the oldest tower in Dubai

• Being the tallest residential building

• Having the most floors in Dubai

• Being the tallest building in the world

What does the function t(n) represent?

• The total number of tenants in the tower

• The number of tenants on floor n

• The number of floors in the tower

• The height of the tower

In the function t(n), what does 'n' stand for?

• The total number of floors

• The number of tenants

• The floor number

• The height of the floor

If t(60) is given, what does it signify?

• The number of tenants on the 60th floor

• The number of tenants in the entire building

• The total number of floors

• The height of the 60th floor

What does t(10) represent?

• The total number of tenants in the building

• The height of the 10th floor

• The number of floors above the 10th floor

• The number of tenants on the 10th floor

What is the meaning of t(30)?

• The number of tenants on the 30th floor

• The height of the 30th floor

• The total number of floors

• The number of tenants on the 60th floor

What does the statement 't(60) > t(10) + t(30)' imply?

• There are more tenants on floor 60 than on floors 10 and 30 combined

• Floor 60 is the highest floor in the building

• Floor 60 has fewer tenants than floors 10 and 30 combined

• Floor 60 is taller than floors 10 and 30 combined

Which option incorrectly interprets the function t(n)?

• t(n) represents the height of floor n

• t(n) helps identify the floor number

• t(n) represents the number of tenants on floor n

• t(n) is used to model tenant distribution

What is incorrect about the statement 'The number of floors with 60 tenants is greater than those with 10 or 30 tenants'?

• It correctly interprets the tenant distribution

• It confuses the number of tenants with floor numbers

• It is a valid statement about the building

• It accurately describes the height of the floors

Why is option B, which talks about the height of floor 60, incorrect?

• Because it is a valid statement about the building

• Because it correctly interprets the function t(n)

• Because it accurately describes the tenant distribution

• Because the problem is about tenants, not height