3. The value of a car decreases over time. The value of a particular car can be modelled by the equation V(t) = 45200(0.82) where "t" is the number of years since the car was bought. a) Find the average rate of change in the value of the car over the first two years since the car was bought. Show your work. b) Estimate what the instantaneous rate of change will be at the start of the 3rd year. Show your work.

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...
icon
Related questions
Question
100%
Question uploaded
3. The value of a car decreases over time. The value of a particular car can be modelled by
the equation V(t) = 45200(0.82) where "t" is the number of years since the car was
bought.
a) Find the average rate of change in the value of the car over the first two years since
the car was bought. Show your work.
b) Estimate what the instantaneous rate of change will be at the start of the 3rd year.
Show your work.
Transcribed Image Text:3. The value of a car decreases over time. The value of a particular car can be modelled by the equation V(t) = 45200(0.82) where "t" is the number of years since the car was bought. a) Find the average rate of change in the value of the car over the first two years since the car was bought. Show your work. b) Estimate what the instantaneous rate of change will be at the start of the 3rd year. Show your work.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning