Answer:
A
Step-by-step explanation:
Substitute the x and y values from the given points into the equation and solve for a and b
Using (2, 24), then
24 = ab² → (1)
Using (3, 48), then
48 = ab³ → (2)
Dividing (2) by (1)
[tex]\frac{ab^3}{ab^2}[/tex]= [tex]\frac{48}{24}[/tex], hence b = 2
Substitute b = 2 into (1)
24 = a × 2² = 4a ( divide both sides by 4 )
a = 6
Hence equation is y = 6[tex](2)^{x}[/tex] → A
