Answer:
[tex]f(x) = (4\sqrt{5})^{x}[/tex]
Step-by-step explanation:
The exponential function looks like the following: [tex]f(x) = b^{x}[/tex].
If the function passes through the point (2, 80), then:
[tex]f(x) = b^{x}[/tex] → [tex]80 = b^{2}[/tex]
Solving for 'b':
[tex]b = \sqrt{80}[/tex] →[tex]b=4\sqrt{5}[/tex]
Then, the equation of exponential function that passes through the point (2, 80) is: [tex]f(x) = (4\sqrt{5})^{x}[/tex]
