Question

Help me figure out the rate of change & the equation for this table ​

Answer 1

y = 54 (⅓)ˣ

Explanation:

Assuming this is an exponential function:

y = a (b)ˣ

Plug in both points:

54 = a (b)⁰

2 = a (b)³

First equation simplifies to a = 54.

Solving the second equation:

2 = 54 b³

1/27 = b³

b = 1/3

y = 54 (⅓)ˣ