Question

Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

Answer 1

1) Since the initial value is 6, and each step we multiply that by 4. Then we can write:

$\begin{gathered} y=6(4)^2 \\ y=6(4.4) \\ y=6(16) \\ y=96 \end{gathered}$

This is the same as multiplying 6 by 4 and 24 by 4.

2) As with y=6(4)^x, x can assume values like 0,-1, 2, etc. When x=0, we multiply that 6 by 4, but when x=-1, we'll multiply that y 1/4.

3) Hence, the answer is y=6(4)²