a. Use the points (0, 46,200) and (5, 54,400) to determine a linear function, f, that approximates the average sales price of a new single-wide x years after 2014. f(x) = Type your answer here (Do not enter any commas or blank spaces in your answer.) %3D b. The slope of the linear function is m = Type your answer here and means that the average sales price of a new single-wide home in the United States is Type your answer here (increasing/decreasing) by $ Type your answer here each year after 2014. c. Use your linear model to predict the average sales price on a new single-wide manufactured home in the United States in 2025. The average sales price in 2025 is $ Type your answer here

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Fill in the Blanks**

### Average Sales Price of New Single-Wide Manufactured Homes in the United States

The graph gives the average sales price of new single-wide manufactured homes in the United States \( x \) years after 2014.

**Graph Explanation:**
The graph displays a scatter plot with a trend line illustrating the average sales price of new single-wide manufactured homes in the United States from 0 to 5 years after 2014. The y-axis represents the average sales price in dollars, ranging from $45,000 to $55,000. The x-axis represents the number of years after 2014. Key data points emphasized on the graph include (0, $46,200) and (5, $54,400), connected by a linear trend line.

**Questions:**
a. Use the points (0, \( \$46,200 \)) and (5, \( \$54,400 \)) to determine a linear function, \( f \), that approximates the average sales price of a new single-wide \( x \) years after 2014.

\[ f(x) = \text{_____} \]

(Do not enter any commas or blank spaces in your answer.)

b. The slope of the linear function is \( m = \text{_____} \) and means that the average sales price of a new single-wide home in the United States is \text{_____} (increasing/decreasing) by \( \$ \text{_____} \) each year after 2014.

c. Use your linear model to predict the average sales price of a new single-wide manufactured home in the United States in 2025.

The average sales price in 2025 is \( \$ \text{____} \).

**Instructions to Students:**
Type your answers in all of the blanks and submit.
Transcribed Image Text:**Fill in the Blanks** ### Average Sales Price of New Single-Wide Manufactured Homes in the United States The graph gives the average sales price of new single-wide manufactured homes in the United States \( x \) years after 2014. **Graph Explanation:** The graph displays a scatter plot with a trend line illustrating the average sales price of new single-wide manufactured homes in the United States from 0 to 5 years after 2014. The y-axis represents the average sales price in dollars, ranging from $45,000 to $55,000. The x-axis represents the number of years after 2014. Key data points emphasized on the graph include (0, $46,200) and (5, $54,400), connected by a linear trend line. **Questions:** a. Use the points (0, \( \$46,200 \)) and (5, \( \$54,400 \)) to determine a linear function, \( f \), that approximates the average sales price of a new single-wide \( x \) years after 2014. \[ f(x) = \text{_____} \] (Do not enter any commas or blank spaces in your answer.) b. The slope of the linear function is \( m = \text{_____} \) and means that the average sales price of a new single-wide home in the United States is \text{_____} (increasing/decreasing) by \( \$ \text{_____} \) each year after 2014. c. Use your linear model to predict the average sales price of a new single-wide manufactured home in the United States in 2025. The average sales price in 2025 is \( \$ \text{____} \). **Instructions to Students:** Type your answers in all of the blanks and submit.
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