The exponential function that goes through points (0, 15) and (3,3240) is:
[tex]y = 15(6)^x[/tex]
An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
The function goes through point (0,15), hence a = 15. When x = 3, y = 3240, hence we use it to find b, as follows:
15b³ = 3240
b³ = 3240/15
b³ = 216
[tex]b = \sqrt[3]{216}[/tex]
b = 6.
Hence the function is:
[tex]y = 15(6)^x[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
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