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.V40 00030 00020 000100000-140 000V30 00020 000100000-11exponential model122334455t(d) Which model represents a greater depreciation rate in the first year?the linear modelthe exponential model40 000V30 00020 0000-110 000V40 00030 0000-120 000100001122334455tt(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

Answered: Image /qna-images/answer/a590c067-c119-4145-860d-9d6c1b2bd2ec.jpg

(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 A 20000 10000) 2 0-1 40 000 3 30 000 N 20000 10000 1 2 3 4 (e) For what years linear model 4 exponential model t 0-1 (d) Which model represents a greater depreciation rate in the first year? O the linear model O the exponential model 40 000 V 30 000 0-1 20000 10000 V 40 000 30 000 20 000 0-1 10000 1 1 2 2 3 3 4 4 5 5 t t 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 notatic