Question

The table represents an exponential function.

Answer 1

Answer:

Step-by-step explanation:

All we are doing here is solving for the b in

$y=a(b)^x$, which is the standard form for an exponential function.

Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):

$6=a(b)^1$ so

$a=\frac{6}{b}$ and use that when you write the next equation using the next coordinate pair:

$4=\frac{6}{b}(b)^2$ which simplifies to

4 = 6b so

$b=\frac{2}{3}$, the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.