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

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\"]      

Solution

Its an exponential function which is of the form

y=ab^x

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