Question

Is the curve in 𝑦 = 5 (3/5)^𝑥 an example of exponential growth or decay? Explain how you know

Answer 1

The curve 𝑦 = 5 (3/5)^𝑥 is an example of exponential decay. This is because the base of the exponential term, 3/5, is less than 1. In exponential decay, the base of the exponential term is between 0 and 1, leading to a decreasing function as the input variable increases. In this case, as x increases, the value of the function decreases towards zero, showing exponential decay.