Question

Find the y=a(b)^x form for the exponential function passing through points (1,48) and (3,12)

Answer 1

y = 96 * (1/2)ˣ or

y = (-96)*(-1/2)ˣ

Explanation:

y=a(b)ˣ

pass (1 , 48): 48 = a * b¹ ab = 48 ...(1)

pass (3 , 12): 12 = a * b³ ab³ = 12 ...(2)

(2)/(1): ab³/ab = b² = 12/48 = 1/4

b = 1/2 or b = - 1/2

a = 96 or a = -96