Question

What equation represents an exponential function that passes through the point (2, 80)?

Answer 1

Answer:

$f(x) = (4\sqrt{5})^{x}$

Step-by-step explanation:

The exponential function looks like the following: $f(x) = b^{x}$.

If the function passes through the point (2, 80), then:

$f(x) = b^{x}$ → $80 = b^{2}$

Solving for 'b':

$b = \sqrt{80}$ →$b=4\sqrt{5}$

Then, the equation of exponential function that passes through the point (2, 80) is: $f(x) = (4\sqrt{5})^{x}$