Will give brainliest!

1. What would need to be changed in an exponential equation to show a faster

growth rate?

2. What would need to be changed in an exponential equation to show a slower growth rate?

3. What are the benefits of using an exponential model?

Step-by-step explanation:

Remember that our original exponential formula was y = a b x. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.

An exponential function of a^x (a>0) is always ln (a) * a^x, as a^x can be rewritten in e^ (ln (a) * x). By deriving, the term (ln (a)) gets multiplied with a^x. The derivative shows, that the rate of change is similiar to the function itself. For 0
Linear models are used when a phenomenon is changing at a constant rate, and exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly.