Darnell has recorded the estimated value of his car each year since 2017. Year Value, $$ 2017 20,499 2018 18,000 2019 17,000 2020 18,000 2021 17,000 Letting x=1 correspond to the year 2017, Darnell has determined the slope-intercept form of the equation for the line that passes through the points representing the value of his car in 2017, (1,20,499) and the value of his car in 2021, (5,17,000), to be y=−874.75x +21,373.75 Use this equation to find an estimate of the value of Darnell’s car in 2023. Round your answer to the nearest cent.
Darnell has recorded the estimated value of his car each year since 2017. Year Value, $$ 2017 20,499 2018 18,000 2019 17,000 2020 18,000 2021 17,000 Letting x=1 correspond to the year 2017, Darnell has determined the slope-intercept form of the equation for the line that passes through the points representing the value of his car in 2017, (1,20,499) and the value of his car in 2021, (5,17,000), to be y=−874.75x +21,373.75 Use this equation to find an estimate of the value of Darnell’s car in 2023. Round your answer to the nearest cent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Darnell has recorded the estimated value of his car each year since 2017.
Year | Value, $$ |
---|---|
2017 | 20,499 |
2018 | 18,000 |
2019 | 17,000 |
2020 | 18,000 |
2021 | 17,000 |
Letting x=1 correspond to the year 2017, Darnell has determined the slope-intercept form of the equation for the line that passes through the points representing the value of his car in 2017, (1,20,499) and the value of his car in 2021, (5,17,000), to be
y=−874.75x +21,373.75
Use this equation to find an estimate of the value of Darnell’s car in 2023. Round your answer to the nearest cent.
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