The question is an illustration of an exponential function
How to determine the graph of the table
From the table, we have the following ordered pairs
(x,y) = (0,3.5) and (5,19.3)
The table represents an exponential function:
[tex]y = ab^x[/tex]
When (x,y) = (0,3.5), the equation becomes
[tex]3.5 = ab^0[/tex]
[tex]a =3.5[/tex]
When (x,y) = (5,19.3), the equation becomes
[tex]19.3 = ab^5[/tex]
Substitute 3.5 for a
[tex]19.3 = 3.5b^5[/tex]
Divide both sides by 3.5
[tex]5.51 = b^5[/tex]
Take the 5th root of both sides
[tex]b=1.41[/tex]
So, the equation of the table is:
[tex]y = 3.5(1.41)^x[/tex]
See attachment for the graph of the table
Read more about exponential functions at:
https://brainly.com/question/11464095
