Question:

A painting sold for $277 in 1978 and was sold again in 1990

Last updated: 8/11/2022

A painting sold for $277 in 1978 and was sold again in 1990

A painting sold for $277 in 1978 and was sold again in 1990 for $485. 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 = 277. k=_ (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1978. V(t)=_ c) Estimate the value of the painting in 2015. $_ (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 $2173. _years (Round to the nearest tenth.)