Explanation:
To write an exponential function in the form y=ab^x that goes through points (0,8) and (3,8000), we need to find the values of a and b.
First, we can use the point (0,8) to find the value of a:
y = ab^x
8 = ab^0
8 = a
Next, we can use the point (3,8000) to find the value of b:
y = ab^x
8000 = 8b^3
b^3 = 1000
b = 10
Now that we have found the values of a and b, we can write the exponential function:
y = ab^x
y = 8(10)^x
Therefore, the exponential function in the form y=ab^x that goes through points (0,8) and (3,8000) is y = 8(10)^x.