exponential functions, math homework help

Accurately answer all questions. Double check all work.

Complete the sentence with the best answer.

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.

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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?


2 equals a left parenthesis bevelled 25 over 4 right parenthesis to the power of b_x000D_
4 equals a left parenthesis bevelled 625 over 4 right parenthesis to the power of b

bevelled 25 over 4 equals a b squared_x000D_
bevelled 625 over 4 equals a b to the power of 4

bevelled 25 over 4 equals a left parenthesis 2 right parenthesis to the power of b_x000D_
bevelled 625 over 4 equals a left parenthesis 4 right parenthesis to the power of b

2 equals a b to the power of bevelled 25 over 4 end exponent_x000D_
4 equals a b to the power of bevelled 625 over 4 end exponent

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


2 equals a left parenthesis 10 right parenthesis to the power of b_x000D_
8 equals a left parenthesis 25 right parenthesis to the power of b

10 equals a left parenthesis 2 right parenthesis to the power of b_x000D_
25 equals a left parenthesis 8 right parenthesis to the power of b

2 equals a b to the power of 10_x000D_
8 equals a b to the power of 25

10 equals a b squared_x000D_
25 equals a b to the power of 8

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Complete the sentence with the best answer.

A power 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 ln y versus 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.

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


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

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

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

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

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


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

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

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

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

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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?


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

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

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

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

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


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

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

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

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

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


y equals 1.19 x to the power of 1.96 end exponent

y equals 0.32 x to the power of 1.46 end exponent

y equals 2.19 x to the power of 0.86 end exponent

y equals 0.42 x to the power of 0.81 end exponent

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


y equals 4.39 x to the power of 0.48 end exponent

y equals 0.04 x to the power of 2.99 end exponent

y equals 6.58 x to the power of 0.33 end exponent

y equals 21.28 x to the power of 0.48 end exponent

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