Question Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. \[ y=33(0.492)^{x} \] Answer Attempt 1 out of 2 Growth \% increase Submit Answer

To determine whether the function represents growth or decay, look at the base of the exponential term: y = 33(0.492)^x Since the base 0.492 is less than 1, the function is decreasing (decay). Next, to find the percentage rate of decrease, note that when a quantity is multiplied by a number less than 1, the decrease is given by 1 minus that number: Percentage decrease = (1 - 0.492) × 100% = 0.508 × 100% = 50.8% Thus, the function represents exponential decay, and the rate of decrease is approximately 50.8% per unit increase in x.