Question

Real Estate. $\quad$ A house purchased for $\$ 275,000$ is expected to be worth $\$ 282,000$ in 2 years. Find the straight-line appreciation equation for the house if it continues to appreciate at the same rate. What will the house be worth in 10 years?

Name: Problem 100, Chapter 2: Intermediate Algebra
Uploaded: 2020-08-09T00:06:36-08:00
Duration: 1 min 42 s
Channel: Erin Kearney
Description: Real Estate. A house purchased for 275,000 is expected to be worth 282,000 in 2 years. Find the straight-line appreciation equation for the house if it continues to appreciate at the same rate. What will the house be worth in 10 years?

   Real Estate. $\quad$ A house purchased for $\$ 275,000$ is expected to be worth $\$ 282,000$ in 2 years. Find the straight-line appreciation equation for the house if it continues to appreciate at the same rate. What will the house be worth in 10 years?

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 2, Problem 100

Instant Answer

Solved by Expert Erin Kearney

08/09/2020

Step 1

This is done by finding the difference in the value of the house over the difference in time. In this case, the house was purchased for $275,000 and is expected to be worth $282,000 in two years. So, the rate of appreciation is given by: \[ \frac{\$282,000 - Show more…

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Real Estate. $\quad$ A house purchased for $\$ 275,000$ is expected to be worth $\$ 282,000$ in 2 years. Find the straight-line appreciation equation for the house if it continues to appreciate at the same rate. What will the house be worth in 10 years?

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Key Concepts

Straight-Line Growth

This concept involves modeling continuous growth or appreciation by assuming that the increase happens at a constant rate over time. It is used to predict future values by adding a fixed amount for each time period.

Linear Equations in Slope-Intercept Form

This refers to representing relationships using the equation y = mx + b, where m is the constant rate of change and b is the starting value. It provides a clear way to model and calculate changes over time.

Rate of Change

This key idea involves determining how much a quantity changes per unit of time. In the context of straight-line appreciation, it is calculated by dividing the change in value by the change in time, providing the yearly increase.

Extrapolation

Extrapolation is the process of estimating an unknown value by extending a known sequence of values or trend beyond the observed range. This is crucial when predicting long-term appreciation using a linear model.

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