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A new 2014 luxury sedan that sold for $37,380 has a book value V of $22,879 after t = 2 years. (a) Find a linear model for the value V of the sedan. V(t) = (b) Find an exponential model for the value V of the sedan. Round the numbers in the model to four decimal places. V(t) = (c) Use a graphing utility to graph the two models in the same viewing window. V 40 000 40 000

A new 2014 luxury sedan that sold for $37,380 has a book value V of $22,879 after t = 2 years. (a) Find a linear model for the value V of the sedan. V(t) = (b) Find an exponential model for the value V of the sedan. Round the numbers in the model to four decimal places. V(t) = (c) Use a graphing utility to graph the two models in the same viewing window. V 40 000 40 000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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A new 2014 luxury sedan that sold for $37,380 has a book value V of $22,879 after t = 2 years. (a) Find a linear model for the value V of the sedan. V(t) = (b) Find an exponential model for the value V of the sedan. Round the numbers in the model to four decimal places. V(t) = (c) Use a graphing utility to graph the two models in the same viewing window. V 40 000 30 000 20 000 10 000 V 40 000 30 000 20 000 10 000 1 exponential model 1 2 2 3 3 4 4 5 5 t t (d) Which model represents a greater depreciation rate in the first year? the linear model O the exponential model V 40 000 30 000 20 000 0-1 10000 V 40 000 30 000 20 000 10 000 1 1 2 2 3 3 4 4 5 5 t t (e) For what years is the value of the sedan greater using the linear model? the exponential model? (Round your answers to the nearest integer. Enter your answers using interval notation.) linear model
Transcribed Image Text:A new 2014 luxury sedan that sold for $37,380 has a book value V of $22,879 after t = 2 years. (a) Find a linear model for the value V of the sedan. V(t) = (b) Find an exponential model for the value V of the sedan. Round the numbers in the model to four decimal places. V(t) = (c) Use a graphing utility to graph the two models in the same viewing window. V 40 000 30 000 20 000 10 000 V 40 000 30 000 20 000 10 000 1 exponential model 1 2 2 3 3 4 4 5 5 t t (d) Which model represents a greater depreciation rate in the first year? the linear model O the exponential model V 40 000 30 000 20 000 0-1 10000 V 40 000 30 000 20 000 10 000 1 1 2 2 3 3 4 4 5 5 t t (e) For what years is the value of the sedan greater using the linear model? the exponential model? (Round your answers to the nearest integer. Enter your answers using interval notation.) linear model
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