Without graphing, predict whether the function, y = 3 (0.2) x, shows exponential growth or decay. Justify your predictions.

A. decay; because 0.2 < 1

B. growth; because 0.2 < 1

C. decay; because 0.2 > 1

D. growth; because 0.2 > 1

Question

Mathematics

Diesel

20 May, 18:58

Without graphing, predict whether the function, y = 3 (0.2) x, shows exponential growth or decay. Justify your predictions.

A. decay; because 0.2 < 1

B. growth; because 0.2 < 1

C. decay; because 0.2 > 1

D. growth; because 0.2 > 1

+5

Answers (1)

Know the Answer?

Arely Callahan · Answer 1

Hello,

Answer A

Let's choice x and x+1

x
==>

y1=3*0.2^x

y2=3*0.2^ (x+1)

y2/y1=3*0.2^ (x+1) / (3*0.2^x) = 0.2

y2=0.2*y1<1*y1

The function shows a decay.

Without graphing, predict whether the function, y = 3 (0.2) x, shows exponential growth or decay. Justify your predictions.A. decay; because 0.2 < 1B. growth; because 0.2 < 1C. decay; because 0.2 > 1D. growth; because 0.2 > 1

Without graphing, predict whether the function, y = 3 (0.2) x, shows exponential growth or decay. Justify your predictions.

A. decay; because 0.2 < 1

B. growth; because 0.2 < 1

C. decay; because 0.2 > 1

D. growth; because 0.2 > 1