Answer:
y = 4(5)^x
Explanation:
We can use the form y = ab^x to write the exponential function that passes through the given points.
First, we need to find the values of a and b. We can use the two points to create a system of equations:
0.8 = ab^(-1)
100 = ab^(2)
We can solve for a by multiplying the first equation by b and substituting it into the second equation:
100 = ab^(2)
100 = (0.8b)b^2
125 = b^3
b = 5
Now we can solve for a using either of the original equations:
0.8 = ab^(-1)
0.8 = a/5
a = 4
Therefore, the exponential function that passes through the given points is:
y = 4(5)^x