The time t (in years) for the world population to double when it is increasing at a continuous rate of r is given by t = (In 2)/r. (a) Complete the table. (Round your answers to one decimal place.) 0.009 0.014 0.019 0.024 0.029 0.034 (b) Use a graphing utility to graph the function.

The time t (in years) for the world population to double when it is increasing at a continuous rate of r is given by t = (In 2)/r. (a) Complete the table. (Round your answers to one decimal place.) 0.009 0.014 0.019 0.024 0.029 0.034 (b) Use a graphing utility to graph the function.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 84E

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Question

The time t (in years) for the world population to double when it is increasing at a continuous rate of r is given by t = (In 2)/r.
(a) Complete the table. (Round your answers to one decimal place.)
0.009
0.014
0.019
0.024
0.029
0.034
(b) Use a graphing utility to graph the function.

Expert Solution

Step 1

To Evaluate: Complete the table and graph the function.

where,

time is t(in years)

Rate is r

Step 2

a. Complete the table.

r	0.009	0.014	0.019	0.024	0.029	0.034
t	77.016	49.511	36.481	28.881	23.902	20.387

To complete the table, we will put the value of r into the given function and get the corresponding value of t.

At r = 0.009

At r = 0.014

At r = 0.019

At r = 0.024

At r = 0.029

At r = 0.034

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