Answer:
y = 16 [tex](5)^{x}[/tex]
Step-by-step explanation:
Use the given points to find the values of a and b
Using (0, 16), then
16 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus
a = 16
y = 16 [tex]b^{x}[/tex]
Using (2, 400), then
400 = 16b² ( divide both sides by 16 )
b² = 25 ( take the square root of both sides )
b = [tex]\sqrt{25}[/tex] = 5
Thus
y = 16 × [tex]5^{x}[/tex] ← exponential function
