i need help on this

Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=23(0.292)^x

what is the % increase

Answer 1

Hello Ela,

The base (The number raised to the power x) is 0.292. Since it is less than 1, this equation represents exponential decay.

It also matches the formula y = a* (1-r)^x which is the general formula for exponential decay.

To find the percentage change, you would:

1. do 1-0.292 to find by how much you decreased from 1 to get 0.292. You will get 0.708
2. you then convert that decimal into percentage (multiply the decimal by 100), and you get the percentage rate of decrease.

Cheers!