Question

Help me please, Does the following equation represent growth or decay? y = 2(4)-x

Answer 1

i dont think so
growth/decay equations contain exponents

Answer 2

y = 2(4)^-x <---- sorry that's it

Answer 3

Given y=2(4)^-x, rearrange it to the follow:
\[y= 2 (\frac{1}{4})^{x}\]

Looking at the equation above, when x increases y will be come smaller and smaller, because of the (1/4) component.

When x = 1,
y= 2(1/4)

WHen x = 2,
y= 2(1/16)

When x = 3,
y= 2(1/ 64).

Since y decreases exponentially while x increases it is a decay function.

Answer 4

Thank you