Can you explain
Is the equation A = 275000(0.73)^t a model of exponential growth or decay and what is the rate of change per time period?
This equation is a model of exponential decay. This is because the value of the expression within the parentheses (0.73) is less than 1, indicating that the quantity is decreasing over time.
The rate of change per time period can be found by taking the derivative of the equation with respect to time, t. This will give us the instantaneous rate of change at any point in time.
Taking the derivative of the equation A = 275000(0.73)^t with respect to time, t, we get:
dA/dt = 275000 * (ln(0.73)) * (0.73)^t
The rate of change per time period is the value of dA/dt at a specific time point.