ne of the special characteristics of any exponential growth function y= Ab' is its doubling time-the time needed for the uantity to double in size. This depends only on the growth rate (or the growth factor), but not on the value of the independ ariable t. As you discovered in Problem 19 of Section 5.1, this is not the case with linear functions. We now examine power unctions, y = AtP. a) Consider the power function y 10t2. How much must t increase for y to double when t 17 0.41 How much must t increase for y to double when t = 2? How much must t increase for y to double when t 3? Does the doubling time for this power function depend only on the parameters A and/or p? The doubling time depends both on the parameter A and the independent variable t. The doubling time is dependent only on p. The doubling time is dependent only on A. The doubling time depends both on the parameter p and the independent variable t. The doubling time depends on both parameters A and p. (b) Find a formula for the doubling time DT for this power function in terms of the variable t. DT =

ne of the special characteristics of any exponential growth function y= Ab' is its doubling time-the time needed for the uantity to double in size. This depends only on the growth rate (or the growth factor), but not on the value of the independ ariable t. As you discovered in Problem 19 of Section 5.1, this is not the case with linear functions. We now examine power unctions, y = AtP. a) Consider the power function y 10t2. How much must t increase for y to double when t 17 0.41 How much must t increase for y to double when t = 2? How much must t increase for y to double when t 3? Does the doubling time for this power function depend only on the parameters A and/or p? The doubling time depends both on the parameter A and the independent variable t. The doubling time is dependent only on p. The doubling time is dependent only on A. The doubling time depends both on the parameter p and the independent variable t. The doubling time depends on both parameters A and p. (b) Find a formula for the doubling time DT for this power function in terms of the variable t. DT =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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