230k views
5 votes
How do you determine if the equation y = (11)^x represents exponential growth or decay?

A) Exponential growth
B) Exponential decay
C) Neither growth nor decay
D) Insufficient information to determine

User Metlira
by
8.2k points

1 Answer

5 votes

Final answer:

The equation y = (11)^x represents exponential growth because the base of the exponent, 11, is greater than 1, indicating an increase in y as x increases.

Step-by-step explanation:

The equation y = (11)^x represents exponential growth. This is because the base of the exponent, which is 11 in this case, is greater than 1. Whenever you have an exponential function of the form y = b^x, where b > 1, it indicates that as the value of x increases, the value of y increases at an ever-increasing rate, which is the definition of exponential growth. On the other hand, if 0 < b < 1, it would represent exponential decay, as the value of y decreases as x increases.

User Ali Rehman
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories