The value of a coin collection increases as new coins are added and the value of some rare coins in the collection increases. The value V, in dollars, of the collectiont years after the collection was started is given by the following table. t = time in years V = value in dollars 140.00 1. 2 168.00 201.60 241.92 4 290.30 (a) Show that these data are exponential. (Round the successive ratios to two decimal places.) 1.2 , from year 1 to year 2 is 201.60 1x (rounded to one decimal place). Because these successive ratios are all the same The ratio of new value to old value from year 0 to year 1 is 168 x from year 2 to year 3 is 241.02 X and from year 3 to year 4 is 200.30 the data are exponential. (b) Find an exponential model for the data. V = 140 x 1.2 O v = 150 x 3.2 O v = 110 x 0.2 O v = 167 x 2.2 O v = 155 x 0.7 (c) According to the model, when will the collection have a value of $500? (Use the model found in part (b). Round your answer to two decimal places.) X yr

The value of a coin collection increases as new coins are added and the value of some rare coins in the collection increases. The value V, in dollars, of the collectiont years after the collection was started is given by the following table. t = time in years V = value in dollars 140.00 1. 2 168.00 201.60 241.92 4 290.30 (a) Show that these data are exponential. (Round the successive ratios to two decimal places.) 1.2 , from year 1 to year 2 is 201.60 1x (rounded to one decimal place). Because these successive ratios are all the same The ratio of new value to old value from year 0 to year 1 is 168 x from year 2 to year 3 is 241.02 X and from year 3 to year 4 is 200.30 the data are exponential. (b) Find an exponential model for the data. V = 140 x 1.2 O v = 150 x 3.2 O v = 110 x 0.2 O v = 167 x 2.2 O v = 155 x 0.7 (c) According to the model, when will the collection have a value of $500? (Use the model found in part (b). Round your answer to two decimal places.) X yr

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Description: 5 The value of a coin collection increases as new coins are added and the value of some rare coins in the collection increases. The value V, in dollars, of the collectiont years after the collection wasstarted is given by the following table.t = time

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...

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