Match each equation with its model. (a) Exponential growth model (i) y = aebx, b > 0 (b)

Chapter 4, Problem 1

(choose chapter or problem)

Match each equation with its model.

(a) Exponential growth model                 (i) \(y=a e^{-b x}, b>0\)

(b) Exponential decay model                 (ii) y = a + b ln x

(c) Logistic growth model                     (iii) \(y=\frac{a}{1+b e^{-r x}}\)

(d) Gaussian model                              (iv) \(y=a e^{b x}, b>0\)

(e) Natural logarithmic model               (v) \(y=a+b \log _{10} x\)

(f) Common logarithmic model            (vi) \(y=a e^{-(x-b)^{2} / c}\)

Text Transcription:

y = ae^−bx, b > 0

y = a / 1 + be^−rx

y = ae^bx, b > 0

y = a + b log_10 x

y = ae^−(x−b)^2 / c