Answer:
y = 10 [tex](4)^{x}[/tex]
Step-by-step explanation:
Use the points to find a and b
Using (0, 10 ) , then
10 = a [tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ]
a = 10 , so
y = 10 [tex]b^{x}[/tex]
Using (2, 160 )
160 = 10b² ( divide both sides by 10 )
16 = b² ( take square root of both sides )
[tex]\sqrt{16}[/tex] = b , that is
b = 4
The exponential function is
y = 10 [tex](4)^{x}[/tex]
