Need help with exponential functions

Nov 25th, 2015
Anonymous
Category:
Engineering
Price: $20 USD

Question description

An exponential model should be used to model data if:


A scatter plot of ln y versus ln x fits a linear pattern.

A scatter plot of y versus ln x fits a linear pattern.

A scatter plot of y versus x fits a linear pattern.

A scatter plot of ln y versus x fits a linear pattern.



Which system of equations can be used to find the ​exponential​ function that passes through the points left parenthesis 2 comma space bevelled 25 over 4 right parenthesis) and left parenthesis bevelled fraction numerator 4 comma space 625 over denominator 4 end fraction right parenthesis?


a. 2  = a(25/4)^b

    4 = a(625/4)^b


b. 25/4 = ab^2

    625/4 =  ab^4


c. 25/4 = a(2)^b

    625/4 = a(4)^b


d. 2 = ab^(25/4)

    4 = ab^(625/4)


Which system of equations can be used to find the ​power​ function that passes through the points (2, 10) and (8, 25)?

2 = a(10)^b

8 =a(25)^b


10 = a(2)^b

25 = a(8)^b


2 = ab^10

8 = ab^25


10 = ab^2

25 = ab^8



Complete the sentence with the best answer.

A power model should be used to model data if:


a. A scatter plot of ln y versus ln x fits a linear pattern.

b. A scatter plot of ln y versus x fits a linear pattern.

c. A scatter plot of y versus ln x fits a linear pattern.

d. A scatter plot of y versus x fits a linear pattern.



Which table of values shows ln ​y​ versus ​x​ for the data below?


a. http://www.intervisualtechnology.us/data/1/16903/u9l5q6a.JPG

b. http://www.intervisualtechnology.us/data/1/16902/u9l5q6b.JPG

c. http://www.intervisualtechnology.us/data/1/16901/u9l5q6c.JPG

d. http://www.intervisualtechnology.us/data/1/16900/u9l5q6d.JPG



Which of the following exponential models can be used to model the data below?


a. y equals 2.49 left parenthesis 1.12 right parenthesis to the power of x

b. y equals 2.4 left parenthesis 1.5 right parenthesis to the power of x

c. y equals 9.25 left parenthesis 4.6 right parenthesis to the power of x

d. y equals 9.71 left parenthesis 1.55 right parenthesis to the power of x



Which exponential function goes through the points left parenthesis 1 comma bevelled 1 half right parenthesis and left parenthesis 3 comma bevelled 3 over 8 right parenthesis


a. y equals 0.32 left parenthesis 1.15 right parenthesis to the power of x

b. y equals 810 left parenthesis 0.01 right parenthesis to the power of x

c. y equals 0.58 left parenthesis 0.87 right parenthesis to the power of x

d. y equals 0.05 left parenthesis 64 right parenthesis to the power of x



Which of the following tables of values shows ln ​y​ versus ln ​x​ for the data points below?


a. http://www.intervisualtechnology.us/data/1/16291/U9L5Q8A.jpg

b. http://www.intervisualtechnology.us/data/1/16292/U9L5Q8B.jpg

c. http://www.intervisualtechnology.us/data/1/16293/U9L5Q8C.jpg

d. http://www.intervisualtechnology.us/data/1/16296/U9L5Q8D.jpg



Which of the following power models can be used to model the data below? 


a. y equals 1.19 x to the power of 1.96 end exponent

b. y equals 0.32 x to the power of 1.46 end exponent

c. y equals 2.19 x to the power of 0.86 end exponent

d. y equals 0.42 x to the power of 0.81 end exponent



Find a power function that passes through the points (2.9, 9.4) and (7.3, 12.8). 


a. y equals 4.39 x to the power of 0.48 end exponent

b. y equals 0.04 x to the power of 2.99 end exponent

c. y equals 6.58 x to the power of 0.33 end exponent

d. y equals 21.28 x to the power of 0.48 end exponent





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