1. Suppose a business purchases a photocopier for $12,000 in 2020. The accounting department of the business determines (from research) that the value of this machine after five years (in 2025) is estimated to be $8400. The business uses a linear depreciation model on all company assets (for accounting purposes). Define the variables: t= the time (in years) since 2020, and V= the value of the photocopier (a) Find an equation of the form V=mt + b that can be used to estimate the value of the photocopier over time. (Show all supporting work below and write your final equation in the blank provided.) EQUATION: Follow-up questions for this example: (b) State the slope value (with dimensional units) for this situation and interpret its meaning in context. (c) State the vertical intercept value (with dimensional units) for this situation and interpret its meaning.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Suppose a business purchases a photocopier for $12,000 in 2020. The accounting department of the business
determines (from research) that the value of this machine after five years (in 2025) is estimated to be $8400.
The business uses a linear depreciation model on all company assets (for accounting purposes).
Define the variables: t= the time (in years) since 2020, and V= the value of the photocopier
(a) Find an equation of the form V=mt + b that can be used to estimate the value of the photocopier over
time. (Show all supporting work below and write your final equation in the blank provided.)
EQUATION:
Follow-up questions for this example:
(b) State the slope value (with dimensional units) for this situation and interpret its meaning in context.
(c) State the vertical intercept value (with dimensional units) for this situation and interpret its meaning.
(d) Use your equation to estimate the value (to the nearest dollar) of the photocopier in the year 2030.
Show clear supporting work and state your result in a brief sentence.
180
(e) Use your equation to estimate when (= during what year) the value of the photocopier will reach $0.
Show clear supporting work and state your result in a brief sentence.
Transcribed Image Text:1. Suppose a business purchases a photocopier for $12,000 in 2020. The accounting department of the business determines (from research) that the value of this machine after five years (in 2025) is estimated to be $8400. The business uses a linear depreciation model on all company assets (for accounting purposes). Define the variables: t= the time (in years) since 2020, and V= the value of the photocopier (a) Find an equation of the form V=mt + b that can be used to estimate the value of the photocopier over time. (Show all supporting work below and write your final equation in the blank provided.) EQUATION: Follow-up questions for this example: (b) State the slope value (with dimensional units) for this situation and interpret its meaning in context. (c) State the vertical intercept value (with dimensional units) for this situation and interpret its meaning. (d) Use your equation to estimate the value (to the nearest dollar) of the photocopier in the year 2030. Show clear supporting work and state your result in a brief sentence. 180 (e) Use your equation to estimate when (= during what year) the value of the photocopier will reach $0. Show clear supporting work and state your result in a brief sentence.
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