SOLUTION: The following table of values are points on the function f(x) = a(c)x. What are the values for a and c? x y 0 2 1 6 2 18 3 54 4 162

Algebra ->  Linear-equations -> SOLUTION: The following table of values are points on the function f(x) = a(c)x. What are the values for a and c? x y 0 2 1 6 2 18 3 54 4 162      Log On


   



Question 1180764: The following table of values are points on the function f(x) = a(c)x. What are the values for a and c?
x y
0 2
1 6
2 18
3 54
4 162

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

            The function in your post is written/presented  INCORRECTLY.

            The correct writing is   f(x) = a*c^x,   or   f(x) = a%2Ac%5Ex.


The given sequence in  "y"  is the geometric progression with the first term of  2  and the common ratio of  3.


So,  f(x) = 2*3^x,  where  x = 0, 1, 2, 3, 4.


Thus    a = 2;    c = 3.      ANSWER


Solved, answered and explained.