Question

Which of the following functions represent exponential decay and has a y-

intercept of 2?
O y = {(0.85)*
O y = (2)*+2
O y = 4 (2)*
O y = 2(3)*

Answer 1

Non of the given options

A function that represent an exponential decay and 2 as the y-intercept is y = 0.85ˣ + 1

Explanation:

An exponential decay function is a function that reduces in magnitude at a constant percentage rate, r (< 1)

An exponential decay can be represented by the formula, y = a·(1 - r)ˣ

Therefore, the growth factor, (1 - r) = b is less than 1 for an exponential decay

Therefore the function that represent an exponential decay is y = 0.85ˣ, while a function that represent an exponential decay and has a y-intercept of 2 is y = 0.85ˣ + 1. therefore, non of the options