Below is a table showing the number of visits as a function of the days the webs

Question

Below is a table showing the number of visits as a function of the days the website has existed.

Which function family models the data?                            [ Select ]                       ["Logarithmic", "Power", "Exponential", "Linear"]      

Determine the correct value of a and b that creates the correct model for the data.

a =                            [ Select ]                       ["10", "5", "4", "2"]      

b =                            [ Select ]                       ["4", "10", "2", "40"]      

Explanation / Answer

Its an exponential function which is of the form

y=abx

now e have two points (1,10),(3,40)

From these two points we het

10=a b1     and      40= a b3

From these two equations we get

b=2    and     a=5

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