contestada

1. Which function represents exponential decay?
y= 4^0.3t
y= 7^-t
y= (1/3)^-t
y= 1.5^2t
Justify your response.

Respuesta :

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

[tex]7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}[/tex]

[tex]0 < \frac{1}{7} < 1[/tex], thus, the second option represents exponential decay.