5 4 3 2 The graph shows how the value of a copier has depreciated over time. Use the graph to complete each statement. value of copier (in thousands of dollars) 2 3 time from date of purchase (years) 5 6 7 1 a. Complete the function, V(x) that gives the value, in thousands of dollars, 2 years from date of purchase: V(x)=x+_ Hint: It will help to first complete these two statements: The value of the copier is decreasing at a rate of - thousand dollars per year. The value of the copier at the time of purchase was thousand dollars. b. Use the function you wrote in part (a) to determine the number of dollars that the copier is worth 2.5 years after purchase= Show your work.
5 4 3 2 The graph shows how the value of a copier has depreciated over time. Use the graph to complete each statement. value of copier (in thousands of dollars) 2 3 time from date of purchase (years) 5 6 7 1 a. Complete the function, V(x) that gives the value, in thousands of dollars, 2 years from date of purchase: V(x)=x+_ Hint: It will help to first complete these two statements: The value of the copier is decreasing at a rate of - thousand dollars per year. The value of the copier at the time of purchase was thousand dollars. b. Use the function you wrote in part (a) to determine the number of dollars that the copier is worth 2.5 years after purchase= Show your work.
Algebra and Trigonometry (6th Edition)
6th Edition
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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Question
![**Title:** Understanding Depreciation: Copier Value Over Time
**Graph Description:**
The graph illustrates the depreciation of a copier's value over time. The vertical axis represents the value of the copier in thousands of dollars, ranging from $0 to $6,000. The horizontal axis shows the time from the date of purchase in years, ranging from 0 to 8 years. The graph displays a straight line decreasing from $3,000 at the time of purchase to $0 by year 6, indicating a linear depreciation over time.
**Questions:**
a. **Complete the function,** \( V(x) \) **that gives the value, in thousands of dollars,** \( x \) **years from the date of purchase:**
\[
V(x) = \underline{\hspace{1cm}} x + \underline{\hspace{1cm}}
\]
**Hint:** It will help to first complete these two statements:
- The value of the copier is decreasing at a rate of \( \underline{\hspace{2cm}} \) thousand dollars per year.
- The value of the copier at the time of purchase was \( \underline{\hspace{2cm}} \) thousand dollars.
b. **Use the function you wrote in part (a) to determine the number of dollars that the copier is worth 2.5 years after purchase. Show your work.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e74215f-caa7-4692-b0c7-abe7d8850075%2Ffd9626c9-9bf7-4bd9-a8fe-c540a91ce5cf%2Fqhsoqpa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title:** Understanding Depreciation: Copier Value Over Time
**Graph Description:**
The graph illustrates the depreciation of a copier's value over time. The vertical axis represents the value of the copier in thousands of dollars, ranging from $0 to $6,000. The horizontal axis shows the time from the date of purchase in years, ranging from 0 to 8 years. The graph displays a straight line decreasing from $3,000 at the time of purchase to $0 by year 6, indicating a linear depreciation over time.
**Questions:**
a. **Complete the function,** \( V(x) \) **that gives the value, in thousands of dollars,** \( x \) **years from the date of purchase:**
\[
V(x) = \underline{\hspace{1cm}} x + \underline{\hspace{1cm}}
\]
**Hint:** It will help to first complete these two statements:
- The value of the copier is decreasing at a rate of \( \underline{\hspace{2cm}} \) thousand dollars per year.
- The value of the copier at the time of purchase was \( \underline{\hspace{2cm}} \) thousand dollars.
b. **Use the function you wrote in part (a) to determine the number of dollars that the copier is worth 2.5 years after purchase. Show your work.**
Expert Solution
Step 1
Solution:
As we can see that the graph is a straight line with a slope
The standard equation of the graph
y= mx +c
where m is the slope
Step by step
Solved in 3 steps
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