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.

——————————-

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

——————————

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

====================

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.

——————————-

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

============================

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

———————————-

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 ?