   Chapter 2.3, Problem 52E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Televisions The rate of television thefts is doubling every 4 months.a. Determine, to two decimal places, the base b for an exponential model y = A b t of the rate of television thefts as a function of time in months.b. Find the tripling time to the nearest tenth of a month. [HINT: (a) See Example 2 of Section 2.2. (b) See Quick Examples 11-18.]

(a)

To determine

To calculate: The exponential model y=Abt of rate of television theft as a function of time if the rate of television thefts doubles every 4 months.

Explanation

Given Information:

The rate of television thefts doubles every 4 months.

The form of exponential model is,

y=Abt

Calculation:

Consider the expression of exponential model,

y=Abt

The rate of television thefts doubles every 4 months.

Thus, at t=4 the value of y is y=2A if A is the initial rate of the television theft.

Substitute t=3 and y=2A in the expression y=Abt.

2A=Ab4

Divide both side by A

(b)

To determine

To calculate: The tripling time of the rate of television theft if the rate of television theft is expressed by the expression y=A(1.189)t and the rate of television thefts doubles every 4 months.

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