The correct answer is A. y=9+19x.
To find the rule for the function, we need to look for a pattern in the table. We can see that as x increases by 1, y increases by 19. This means that the function has a constant rate of change of 19.
To write the rule, we start with the initial value of y when x is 0, which is 9. Then, we add 19 times the value of x to get the corresponding value of y. This gives us the equation y=9+19x.