Answer:
y = 13[tex](5)^{x}[/tex]
Step-by-step explanation:
An exponential function has the form
y = a [tex]b^{x}[/tex]
To find a and b use the given points
Using (0, 13), then
13 = a [tex]b^{0}[/tex] , since [tex]b^{0}[/tex] = 1, then
a = 13, thus
y = 13 [tex]b^{x}[/tex]
using (2, 325) , then
325 = 13 b² ( divide both sides by 13 )
25 = b² ( take the square root of both sides )
5 = b
y = 13 × [tex]5^{x}[/tex] ← is the exponential function
