Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN: 9781680331141
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Question
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Chapter 6.4, Problem 17E

a.

To determine

To write: an exponential growth function that represents the population t years after 2000.

a.

Expert Solution
Check Mark

Answer to Problem 17E

  y=315,000(1.02)t

Explanation of Solution

Given:

The population in the year 2000 = 315,000

Population growth rate = 2% annually

Concept used:

Exponential growth function:

  y=a(1+r)t ….. (1)

Here, the y is the final value, a is the initial value, and r is the rate of growth (in decimal form).

Calculation:

Substituting a=315,000 and r=0.02 in equation (1), the required exponential growth function is:

  y=a(1+t)t=315,000(1+0.02)t=315,000(1.02)t

Conclusion:

So, the population t years after 2000 is given by the function y=315,000(1.02)t .

b.

To determine

the population in the year 2020 (round off to nearest thousand).

b.

Expert Solution
Check Mark

Answer to Problem 17E

Approximately 468,000

Explanation of Solution

Given:

The population‘t’ years after 2000 is given by the function:

  y=315,000(1.02)t .

The population in the year 2020 is found by substituting t=20 in the above function.

  y(20)=315,000(1.02)20=315,000(1.4859)468,073

Conclusion:

So, population in the year 2020 will be about 468,000.

Chapter 6 Solutions

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - 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