Determining exponential growth and decay in exercise, use the given information to write an exponential equation for y. does the function represent exponential growth or exponential decay?
dy/dt = 5.2y, y = 18 when t = 0

Exponential growth

Step-by-step explanation:

We can solve this differential equation by the separation of variables method.

We have that:

So

Integrating both sides

In which K is the value of y when t = 0.

We apply the exponential to both sides, so:

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.

the answer is a

step-by-step explanation: