Final answer:
The equation of the exponential function represented by the given table is y = 5 * 4^x.
Step-by-step explanation:
To find the equation of the exponential function represented by the given table, we can first observe that the function has the form y = ab^x, where a is the initial value and b is the common ratio. We can find the values of a and b by substituting the given x and y values into the equation.
Using the first set of values (x=0, y=5), we have 5 = ab^0, which simplifies to 5 = a. Therefore, a = 5.
Substituting the second set of values (x=1, y=20), we have 20 = 5b^1, which simplifies to 20 = 5b. Dividing both sides by 5 gives us b = 4.
Therefore, the equation of the exponential function is y = 5 * 4^x.