Question

Y=5575-(0.65)^t

Is this function a growth or decay?
What is the growth or decay rate for this function? Write it as a percentage.

Answer 1

The function represents exponential decay with a decay rate of 35%.

Step-by-step explanation:

The function

`y=5575-(0.65)^t`

describes an exponential decay process because the base of the exponential term, 0.65, is less than 1. To determine the decay rate, we can look at the base of the exponent, 0.65, and understand that it implies a decay. Expressing the decay rate as a percentage, we subtract it from 1 (which represents 100%) and then multiply by 100 to convert it to percentage form:

Decay Rate (%) = (1 - 0.65) × 100 = 0.35 × 100 = 35%

So the decay rate for this function is 35%.