To determine whether a function represents exponential growth or decay and to find the percentage rate of change, we need to analyze the function. Typical forms of exponential functions are:
- \( f(t) = a \cdot e^{kt} \) or \( f(t) = a(1 + r)^t \) for growth (where \( r \) is positive).
- \( f(t) = a \cdot e^{-kt} \) or \( f(t) = a(1 - r)^t \) for decay (where \( r \) is positive).
The sign of the exponent (either \( k \) or \( -k \)) indicates growth or decay:
- If \( k > 0 \), it's exponential growth.
- If \( k < 0 \) (or if \( r > 0 \) and we're subtracting), it's exponential decay.
To find the rate of change:
- The percentage rate of change \( r \) in an exponential growth function is simply taken from the coefficient in front of the exponential term or the base, as \( (1 + r) \) or \( (1 - r) \).
Without the specific function provided, I cannot definitively categorize it as exponential growth or decay or determine the percentage rate of change.
If you provide the exact function or equation, I can analyze it accordingly and choose the correct option among A, B, C, or D.