a) Explanation Given Information: The provided information is, the number of electric passenger cars in the world has increased exponentially from 50 , 000 in 2011 to 750 , 000 in 2015. Formula used: The exponential growth function is given by; f ( t ) = e k t Where, t is the time and k is the exponential growth rate. Calculation: Consider the number of electric passenger cars in the world has increased exponentially from 50 , 000 in 2011 to 750 , 000 in 2015. The exponential growth function is given by; f ( t ) = e k t Where, t is the time and k is the exponential growth rate. Since, the exponential growth rate k , the number of electric passenger cars in the world E ( t ) , in thousands, t years after 2011. So, the power of the exponential function will be k t . Therefore, the exponential function is written as, E ( t ) = E 0 e k t Where, t is the number of years after 2011. Put the value 50 , 000 for E 0 in equation E ( t ) = E 0 e k t E ( t ) = 50 , 000 e k t …… (1) Number of years from 2011 to 2015 is 4 years. Substitute the value of t = 4 and E ( t ) = 750 , 000 in equation (1) E ( t ) = 50 , 000 e k t 750 , 000 = 50 , 000 e k ⋅ ( 4 ) Simplify the above equation for k b) To determine To calculate: The number of electric passenger cars in 2017. If the number of electric passenger cars in the world has increased exponentially from 50 , 000 in 2011 to 750 , 000 in 2015. c) To determine To calculate: The time when there be 10 million electric passenger cars. If the number of electric passenger cars in the world has increased exponentially from 50 , 000 in 2011 to 750 , 000 in 2015.

6th Edition

ISBN: 9780321848741

Author: Marvin L. Bittinger

Publisher: PEARSON

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Chapter 12, Problem 35CR

To determine

To calculate: The exponential growth rate k, and write an equation for an exponential function that can be used to predict the number of electric passenger cars in the world E(t), in thousands, t years after 2011. If the number of electric passenger cars in the world has increased exponentially from 50,000 in 2011 to 750,000 in 2015.

To determine

To calculate: The number of electric passenger cars in 2017. If the number of electric passenger cars in the world has increased exponentially from 50,000 in 2011 to 750,000 in 2015.

To determine

To calculate: The time when there be 10 million electric passenger cars. If the number of electric passenger cars in the world has increased exponentially from 50,000 in 2011 to 750,000 in 2015.

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Chapter 12, Problem 34CR

Chapter 12, Problem 36CR

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Chapter 12 Solutions

Elementary and Intermediate Algebra

Ch. 12.1 - 1. Given , find. Ch. 12.1 - Prob. 2YT Ch. 12.1 - Prob. 3YT Ch. 12.1 - Prob. 4YT Ch. 12.1 - Prob. 5YT Ch. 12.1 - Prob. 6YT Ch. 12.1 - Prob. 7YT Ch. 12.1 - Prob. 8YT Ch. 12.1 - 9. Let. Use composition of inverse functions to...Ch. 12.1 - Prob. 1ES

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Solution Summary: The author calculates the exponential growth rate k and writes an equation for an exponential function that can be used to predict the number of electric passenger cars in the world.

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To calculate: The number of electric passenger cars in 2017. If the number of electric passenger cars in the world has increased exponentially from 50,000 in 2011 to 750,000 in 2015.

To calculate: The time when there be 10 million electric passenger cars. If the number of electric passenger cars in the world has increased exponentially from 50,000 in 2011 to 750,000 in 2015.

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