Answer:
y = 14 [tex](6)^{x}[/tex]
Step-by-step explanation:
For an exponential function of the form y = a[tex]b^{x}[/tex]
Use the given points to find a and b
Using (0, 14 ), then
14 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus
a = 14
y = 14[tex]b^{x}[/tex]
Using (3, 3024 ) , then
3024 = 14 b³ ( divide both sides by 14 )
216 = b³ ( take the cube root of both sides )
b = [tex]\sqrt[3]{216}[/tex] = 6 , thus
y = 14 × [tex]6^{x}[/tex] ← exponential function
