A toy tractor sold for $282 in 1979 and was sold again in 1988 for $492. Assume that the growth in the value V of the collector's item was exponential a) Find the value k of the exponential growth rate. Assume V. = 282. (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1979. V(t) = c) Estimate the value of the toy tractor in 2009. (Round to the nearest dollar.) d) What is the doubling time for the value of the toy tractor to the nearest tenth of a year? years

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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A toy tractor sold for $282 in 1979 and was sold again in 1988 for $492. Assume that the growth in the value V of the collector's item was exponential.
a) Find the value k of the exponential growth rate. Assume V. = 282.
k=
(Round to the nearest thousandth.)
b) Find the exponential growth function in terms of t, where t is the number of years since 1979.
V(t) =
c) Estimate the value of the toy tractor in 2009.
(Round to the nearest dollar.)
d) What is the doubling time for the value of the toy tractor to the nearest tenth of a year?
years
(Round to the nearest tenth.)
Cind the omaint of ti m aftarhich theval n of theintenninrill b 120
Transcribed Image Text:A toy tractor sold for $282 in 1979 and was sold again in 1988 for $492. Assume that the growth in the value V of the collector's item was exponential. a) Find the value k of the exponential growth rate. Assume V. = 282. k= (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1979. V(t) = c) Estimate the value of the toy tractor in 2009. (Round to the nearest dollar.) d) What is the doubling time for the value of the toy tractor to the nearest tenth of a year? years (Round to the nearest tenth.) Cind the omaint of ti m aftarhich theval n of theintenninrill b 120
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