Question

1. Which function represents exponential decay?

Answer 1

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:

$7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}$

$0 < \frac{1}{7} < 1$, thus, the second option represents exponential decay.