A painting sold for $246 in 1980 and was sold again in 1985 for $439. 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 V₂ = 246. k= (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1980. V(t) = c) Estimate the value of the painting in 2007. $ (Round to the nearest dollar.) d) What is the doubling time for the value of the painting to the nearest tenth of a year? years (Round to the nearest tenth.) e) Find the amount of time after which the value of the painting will be $6430. years (Round to the nearest tenth.)
A painting sold for $246 in 1980 and was sold again in 1985 for $439. 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 V₂ = 246. k= (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1980. V(t) = c) Estimate the value of the painting in 2007. $ (Round to the nearest dollar.) d) What is the doubling time for the value of the painting to the nearest tenth of a year? years (Round to the nearest tenth.) e) Find the amount of time after which the value of the painting will be $6430. years (Round to the nearest tenth.)
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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Transcribed Image Text:A painting sold for $246 in 1980 and was sold again in 1985 for $439. Assume that the growth in the value V of the collector's item was exponential.
C
a) Find the value k of the exponential growth rate. Assume V₂ = 246.
(Round to the nearest thousandth.)
b) Find the exponential growth function in terms of t, where t is the number of years since 1980.
V(t) =
c) Estimate the value of the painting in 2007.
(Round to the nearest dollar.)
d) What is the doubling time for the value of the painting to the nearest tenth of a year?
years
(Round to the nearest tenth.)
e) Find the amount of time after which the value of the painting will be $6430.
years
(Round to the nearest tenth.)
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