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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Chapter 6.4, Problem 7E
To determine

To find: The initial amount a and growth rate r also find the value of y at t=5 and express the answer in the nearest tenth form

Expert Solution & Answer
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Answer to Problem 7E

The value of initial amount is a=25 rate of growth r as a percentage is 20% and y62.2 at t=5 .

Explanation of Solution

Given information:

The exponential functionis y=25(1.2)t .

Concept used:

The exponential growth function is as follows:

  y=a(1+r)t .................. (1)

Here, a is an initial amount, r is the rate of growth and t is the time interval.

Calculation:

The exponential function is y=25(1.2)t .

Now, compare the given exponential function with equation (1) to obtain the initial amount a and rate of growth r .

  a=25 and 1+r=1.2

Calculate the value of r rate of growth.

  1+r=1.2r=1.21r=0.2

Now, find r rate of growth as a percentage.

  r%=0.2(100)=20%

Now, solve the given exponential function y=25(1.2)t at t=5 .

  y=25(1.2)5=25(1.2)5=25(2.48832)62.2

Therefore, the value of initial amount a is 25, rate of growth r as a percentage is 20% and y62.2 at t=5 .

Conclusion:

Thus, the value of initial amount a is, rate of growth r25as a percentage is 20% and y=62.2 at t=5 .

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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