Question

A house cost $200,000. Five years later, that same house sold for $250,000. If there was linear growth, the slope of this line would (numerically) be 10,000 . Explain what this means. a.The value of the house increased by $10,000 every five years. b.The value of the house increased by $10,000 each year. c.The value of the house decreased by $10.000 each year. d.Every 10,000 years, the house wilk We worth one more dollar.

Answer 1

The slope of the line representing the house's value increase is $10,000, which means that the house's value rose by $10,000 per year over a period of five years.

Step-by-step explanation:

The question regarding the house's value increase refers to the concept of linear growth, which in this case is evidenced by the increase in the house's value from $200,000 to $250,000 over the course of five years. If we calculate the slope of this growth, which represents the rate of change, we find that the house's value went up by $50,000 over five years. To determine the annual increase, we divide the total increase by the number of years:

• Total increase in value = $250,000 - $200,000 = $50,000
• Number of years = 5
• Annual increase = Total increase ÷ Number of years = $50,000 ÷ 5 = $10,000 per year

This means that each year, the value of the house went up by $10,000, which is the numerical value for the slope of the line that represents this linear growth.