Question

justify reasoning the graph shows median prices for small cottages on a lake since 2005. a real estate agent says that since 2005, the rate of change for hour prices is $10,000 each year. cottage prices since 2005 graph with price ($ thousand) on y - axis, years since 2005 on x - axis a. do you agree? select choice (yes, no)

Explanation:

Step1: Identify two points on the line

Let's take the initial point (0, 40) (since at 0 years since 2005, the price is 40 thousand dollars) and another point, say (10, 60) (at 10 years, price is 60 thousand dollars).

Step2: Calculate the rate of change (slope)

The formula for slope (rate of change) is $m = \frac{y_2 - y_1}{x_2 - x_1}$.
Substituting the values: $m = \frac{60 - 40}{10 - 0} = \frac{20}{10} = 2$ (thousand dollars per year), which is $2000$ dollars per year, not $10000$.

Answer:

No