Answer:
[tex]y=35\cdot (1.6)^x.[/tex]
Step-by-step explanation:
Find the exponential function in a form [tex]y=a\cdot b^x.[/tex]
1. At x=0,
[tex]35=a\cdot b^0=a.[/tex]
2. At x=1,
[tex]56=35\cdot b^1\Rightarrow b=\dfrac{56}{35}=\dfrac{8}{5}=1.6.[/tex]
Therefore, the expression for the exponential function is
[tex]y=35\cdot (1.6)^x.[/tex]
Note that
[tex]y(-1)=35\cdot (1.6)^{-1}=\dfrac{35}{1.6}=21.875[/tex]
and
[tex]y(2)=35\cdot (1.6)^2=35\cdot 2.56=89.6.[/tex]
