Answer:
Step-by-step explanation:
All we are doing here is solving for the b in
[tex]y=a(b)^x[/tex], which is the standard form for an exponential function.
Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):
[tex]6=a(b)^1[/tex] so
[tex]a=\frac{6}{b}[/tex] and use that when you write the next equation using the next coordinate pair:
[tex]4=\frac{6}{b}(b)^2[/tex] which simplifies to
4 = 6b so
[tex]b=\frac{2}{3}[/tex], 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.
