Housing Crisis, Affordability, and Sustainability
Define the housing crisis in your own words.
What is a situation where many people cannot find or afford safe, stable housing?
A housing graph shows rent increasing every year. Describe the overall trend.
What is an increasing, upward trend, or positive correlation?
What is the slope and the starting value?
y = 25x + 300
Starting Value = 300
A bedroom measures 10 feet by 12 feet. What is the area?
120 square feet
A cube has a side length of 4 feet. What is its volume?
What is 64 cubic feet?
Explain the difference between an affordable home and a sustainable home.
An affordable home costs an amount people can reasonably pay. A sustainable home saves resources and reduces environmental harm.
Average rent was $900 in 2022 and $975 in 2023. By how much did rent change?
What is an increase of $75?
A contractor charges a $200 starting fee plus $30 per hour. Write a cost function for x hours.
C = 30x + 200
A triangular section of a floor plan has a base of 12 feet and a height of 7 feet. What is its area?
42 square feet
A cube has a side length of 5 feet. What is its total surface area?
What is 150 square feet?
Name two sustainability features that could be included in a home and explain how one of them helps.
Answers may include solar panels, insulation, energy-efficient appliances, low-flow faucets, natural lighting, or recycled materials. The explanation must show how the feature saves energy, water, money, or materials.
A graph shows rent rising each year while household income remains almost the same. What housing problem could this create?
Housing may become less affordable because rent takes up a larger portion of people’s income.
Average rent increased from $900 to $1,100 over five years. Find the slope and explain what it means.
Rent increased by an average of $40 per year
A home contains five rooms with areas of 120, 96, 80, 64, and 40 square feet. What is the total area?
hint: Surface Area :)
400 square feet
A triangular prism has a triangular base with a base of 6 feet and a height of 4 feet. The prism is 10 feet long. What is its volume?
What is 120 cubic feet?
A family earns $3,600 per month and spends $1,440 per month on housing. What percentage of its monthly income goes toward housing?
What is 40%
Aldotopia average rent increased from $800 to $1,000. Breakthrough land average rent increased from $1,200 to $1,350.
What is City A for both?
A home repair cost is represented by:
C = 45x + 150
The total cost was $510. How many hours of work were completed?
510 = 45x + 150
300 = 45x
x = 8
On a blueprint, each graph-paper square represents 2 feet by 2 feet. A room measures 7 squares by 6 squares. What is the room’s actual area?
What is 168 square feet?
A cube has a volume of 343 cubic feet. Find its side length and total surface area.
Hint: Solve for x^3 = 343 gives length of sides
What are 7 feet and 294 square feet?
Home A costs $950 in rent and $320 in utilities. It uses 1,200 kWh of electricity per month. Home B costs $1,100 in rent and $120 in utilities. It uses 700 kWh per month.
Home B is $50 cheaper per month and uses 500 fewer kWh, so it is also more energy-efficient.
Clue: A city’s housing data shows:
Give one positive conclusion and one negative conclusion supported by the data.
Company Alpha charges:
C = 25x + 200
Company Bruh charges:
C = 15x + 320
After how many hours will the companies charge the same amount, and what will that cost be?
What are 12 hours and $500?
A rectangular home measures 30 feet by 28 feet. A 6-foot by 8-foot porch and a 5-foot by 10-foot patio are included in the outer dimensions but are not indoor living space.
What is 742 square feet?
A triangular prism has a right-triangle base with side lengths 6 and 8feet with a slanted side of 10 feet. The prism is 12 feet long.
Find both its volume and total surface area.
What are 288 cubic feet and 336 square feet?