Answer:
f(x) = 20(5^x) +3 (read the comment)
Step-by-step explanation:
You want an exponential function f(x) that models the data (x, f(x)) = (0, 23), (1, 103), (2, 503), (3, 2503).
Exponential function
Except for the apparently added value of 3 with every term, the terms have a common ratio of 5. After subtracting 3, the first term (for x=0) has a value of 20. This is the multiplier.
The exponential function is ...
f(x) = 20(5^x) +3
__
Additional comment
We see numerous questions on Brainly where the exponent (or denominator) of a number appears to be an appended digit. The "3" at the end of each of the numbers here suggests it might not actually be the least significant digit of the number, but might represent something else.
If the sequence of f(x) values is supposed to be 2/3, 10/3, 50/3, ..., then the exponential function will be ...
f(x) = 2/3(5^x)
This makes more sense in terms of the kinds of exponential functions we usually see in algebra problems. However, there is nothing in this problem statement to support that interpretation.
<95141404393>
