Find a formula for the exponential function of the form A = f (t) = I B^t passing through the points (3.2, 52) and (5.2, 53)

Question

Find a formula for the exponential function of the form A = f (t) = I B^t passing through the points (3.2, 52) and (5.2, 53)

A=f(t) = _____ ⋅ _____^t

round growth factor to nearest 0.00001

and initial value to nearest 0.001

Answer 1

f(t) = IB^t

52 = (I)(B^3.2) → I = 52 / B^3.2

53 = (I)(B^5.2) → I = 53 / B^5.2

Solve for B, then substitute into either equation to determine I